diff --git a/doc/help/settings.asciidoc b/doc/help/settings.asciidoc
index 9341676f5..159d173cb 100644
--- a/doc/help/settings.asciidoc
+++ b/doc/help/settings.asciidoc
@@ -797,8 +797,6 @@ Valid values:
 
 Default: +pass:[ask]+
 
-This setting is only available with the QtWebKit backend.
-
 [[network-dns-prefetch]]
 === dns-prefetch
 Whether to try to pre-fetch DNS entries to speed up browsing.
diff --git a/qutebrowser/browser/browsertab.py b/qutebrowser/browser/browsertab.py
index 22f1c7e51..2589154a5 100644
--- a/qutebrowser/browser/browsertab.py
+++ b/qutebrowser/browser/browsertab.py
@@ -75,6 +75,23 @@ class UnsupportedOperationError(WebTabError):
     """Raised when an operation is not supported with the given backend."""
 
 
+class AbstractCertificateErrorWrapper:
+
+    """A wrapper over an SSL/certificate error."""
+
+    def __init__(self, error):
+        self._error = error
+
+    def __str__(self):
+        raise NotImplementedError
+
+    def __repr__(self):
+        raise NotImplementedError
+
+    def is_overridable(self):
+        raise NotImplementedError
+
+
 class TabData:
 
     """A simple namespace with a fixed set of attributes.
diff --git a/qutebrowser/browser/shared.py b/qutebrowser/browser/shared.py
index fbd53327c..417b741c6 100644
--- a/qutebrowser/browser/shared.py
+++ b/qutebrowser/browser/shared.py
@@ -21,6 +21,8 @@
 
 import html
 
+import jinja2
+
 from qutebrowser.config import config
 from qutebrowser.utils import usertypes, message, log
 
@@ -110,3 +112,48 @@ def javascript_alert(url, js_msg, abort_on):
                                           html.escape(js_msg))
     message.ask('Javascript alert', msg, mode=usertypes.PromptMode.alert,
                 abort_on=abort_on)
+
+
+def ignore_certificate_errors(url, errors, abort_on):
+    """Display a certificate error question.
+
+    Args:
+        url: The URL the errors happened in
+        errors: A list of QSslErrors or QWebEngineCertificateErrors
+
+    Return:
+        True if the error should be ignored, False otherwise.
+    """
+    ssl_strict = config.get('network', 'ssl-strict')
+    log.webview.debug("Certificate errors {!r}, strict {}".format(
+        errors, ssl_strict))
+
+    for error in errors:
+        assert error.is_overridable(), repr(error)
+
+    if ssl_strict == 'ask':
+        err_template = jinja2.Template("""
+            Errors while loading <b>{{url.toDisplayString()}}</b>:<br/>
+            <ul>
+            {% for err in errors %}
+                <li>{{err}}</li>
+            {% endfor %}
+            </ul>
+        """.strip())
+        msg = err_template.render(url=url, errors=errors)
+
+        return message.ask(title="Certificate errors - continue?", text=msg,
+                           mode=usertypes.PromptMode.yesno, default=False,
+                           abort_on=abort_on)
+    elif ssl_strict is False:
+        log.webview.debug("ssl-strict is False, only warning about errors")
+        for err in errors:
+            # FIXME we might want to use warn here (non-fatal error)
+            # https://github.com/The-Compiler/qutebrowser/issues/114
+            message.error('Certificate error: {}'.format(err))
+        return True
+    elif ssl_strict is True:
+        return False
+    else:
+        raise ValueError("Invalid ssl_strict value {!r}".format(ssl_strict))
+    raise AssertionError("Not reached")
diff --git a/qutebrowser/browser/webengine/webenginetab.py b/qutebrowser/browser/webengine/webenginetab.py
index 95b570b38..9ec89836a 100644
--- a/qutebrowser/browser/webengine/webenginetab.py
+++ b/qutebrowser/browser/webengine/webenginetab.py
@@ -30,7 +30,8 @@ from PyQt5.QtGui import QKeyEvent, QIcon
 # pylint: disable=no-name-in-module,import-error,useless-suppression
 from PyQt5.QtWidgets import QOpenGLWidget, QApplication
 from PyQt5.QtWebEngineWidgets import (QWebEnginePage, QWebEngineScript,
-                                      QWebEngineProfile)
+                                      QWebEngineProfile,
+                                      QWebEngineCertificateError)
 # pylint: enable=no-name-in-module,import-error,useless-suppression
 
 from qutebrowser.browser import browsertab, mouse, shared
@@ -38,7 +39,7 @@ from qutebrowser.browser.webengine import (webview, webengineelem, tabhistory,
                                            interceptor, webenginequtescheme,
                                            webenginedownloads)
 from qutebrowser.utils import (usertypes, qtutils, log, javascript, utils,
-                               objreg, message)
+                               objreg, message, debug)
 
 
 _qute_scheme_handler = None
@@ -78,6 +79,26 @@ _JS_WORLD_MAP = {
 }
 
 
+class CertificateErrorWrapper(browsertab.AbstractCertificateErrorWrapper):
+
+    """A wrapper over a QWebEngineCertificateError."""
+
+    def __init__(self, error):
+        self._error = error
+
+    def __str__(self):
+        return self._error.errorDescription()
+
+    def __repr__(self):
+        return utils.get_repr(
+            self, error=debug.qenum_key(QWebEngineCertificateError,
+                                        self._error.error()),
+            string=str(self))
+
+    def is_overridable(self):
+        return self._error.isOverridable()
+
+
 class WebEnginePrinting(browsertab.AbstractPrinting):
 
     """QtWebEngine implementations related to printing."""
diff --git a/qutebrowser/browser/webengine/webview.py b/qutebrowser/browser/webengine/webview.py
index 52ca6de97..c8488bb4a 100644
--- a/qutebrowser/browser/webengine/webview.py
+++ b/qutebrowser/browser/webengine/webview.py
@@ -27,8 +27,9 @@ from PyQt5.QtWebEngineWidgets import QWebEngineView, QWebEnginePage
 # pylint: enable=no-name-in-module,import-error,useless-suppression
 
 from qutebrowser.browser import shared
+from qutebrowser.browser.webengine import webenginetab
 from qutebrowser.config import config
-from qutebrowser.utils import log, debug, usertypes, objreg, qtutils
+from qutebrowser.utils import log, debug, usertypes, objreg, qtutils, jinja
 
 
 class WebEngineView(QWebEngineView):
@@ -107,7 +108,7 @@ class WebEnginePage(QWebEnginePage):
         _is_shutting_down: Whether the page is currently shutting down.
 
     Signals:
-        certificate_error: FIXME:qtwebengine
+        certificate_error: Emitted on certificate errors.
         link_clicked: Emitted when a link was clicked on a page.
         shutting_down: Emitted when the page is shutting down.
     """
@@ -127,7 +128,29 @@ class WebEnginePage(QWebEnginePage):
 
     def certificateError(self, error):
         self.certificate_error.emit()
-        return super().certificateError(error)
+        url = error.url()
+        error = webenginetab.CertificateErrorWrapper(error)
+
+        # FIXME
+        error_page = jinja.render('error.html',
+                                  title="Error while loading page",
+                                  url=url.toDisplayString(), error=str(error),
+                                  icon='', qutescheme=False)
+
+        if not error.is_overridable():
+            log.webview.error("Non-overridable certificate error: "
+                              "{}".format(error))
+            self.setHtml(error_page)
+            return False
+
+        ignore = shared.ignore_certificate_errors(
+            url, [error], abort_on=[self.loadStarted, self.shutting_down])
+
+        if not ignore:
+            log.webview.error("Certificate error: {}".format(error))
+            self.setHtml(error_page)
+
+        return ignore
 
     def javaScriptConfirm(self, url, js_msg):
         if self._is_shutting_down:
diff --git a/qutebrowser/browser/webkit/network/networkmanager.py b/qutebrowser/browser/webkit/network/networkmanager.py
index 21f4f48bd..d4655d04a 100644
--- a/qutebrowser/browser/webkit/network/networkmanager.py
+++ b/qutebrowser/browser/webkit/network/networkmanager.py
@@ -24,7 +24,6 @@ import collections
 import netrc
 import html
 
-import jinja2
 from PyQt5.QtCore import (pyqtSlot, pyqtSignal, PYQT_VERSION, QCoreApplication,
                           QUrl, QByteArray)
 from PyQt5.QtNetwork import (QNetworkAccessManager, QNetworkReply, QSslError,
@@ -34,8 +33,9 @@ from qutebrowser.config import config
 from qutebrowser.utils import (message, log, usertypes, utils, objreg, qtutils,
                                urlutils, debug)
 from qutebrowser.browser import shared
-from qutebrowser.browser.webkit.network import webkitqutescheme, networkreply
-from qutebrowser.browser.webkit.network import filescheme
+from qutebrowser.browser.webkit import webkittab
+from qutebrowser.browser.webkit.network import (webkitqutescheme, networkreply,
+                                                filescheme)
 
 
 HOSTBLOCK_ERROR_STRING = '%HOSTBLOCK%'
@@ -112,24 +112,6 @@ def init():
     QSslSocket.setDefaultCiphers(good_ciphers)
 
 
-class SslError(QSslError):
-
-    """A QSslError subclass which provides __hash__ on Qt < 5.4."""
-
-    def __hash__(self):
-        try:
-            # Qt >= 5.4
-            # pylint: disable=not-callable,useless-suppression
-            return super().__hash__()
-        except TypeError:
-            return hash((self.certificate().toDer(), self.error()))
-
-    def __repr__(self):
-        return utils.get_repr(
-            self, error=debug.qenum_key(QSslError, self.error()),
-            string=self.errorString())
-
-
 class NetworkManager(QNetworkAccessManager):
 
     """Our own QNetworkAccessManager.
@@ -203,6 +185,19 @@ class NetworkManager(QNetworkAccessManager):
         self.setCache(cache)
         cache.setParent(app)
 
+    def _get_abort_signals(self, owner=None):
+        """Get a list of signals which should abort a question."""
+        abort_on = [self.shutting_down]
+        if owner is not None:
+            abort_on.append(owner.destroyed)
+        # This might be a generic network manager, e.g. one belonging to a
+        # DownloadManager. In this case, just skip the webview thing.
+        if self._tab_id is not None:
+            tab = objreg.get('tab', scope='tab', window=self._win_id,
+                             tab=self._tab_id)
+            abort_on.append(tab.load_started)
+        return abort_on
+
     def _ask(self, title, text, mode, owner=None, default=None):
         """Ask a blocking question in the statusbar.
 
@@ -216,17 +211,7 @@ class NetworkManager(QNetworkAccessManager):
         Return:
             The answer the user gave or None if the prompt was cancelled.
         """
-        abort_on = [self.shutting_down]
-        if owner is not None:
-            abort_on.append(owner.destroyed)
-
-        # This might be a generic network manager, e.g. one belonging to a
-        # DownloadManager. In this case, just skip the webview thing.
-        if self._tab_id is not None:
-            tab = objreg.get('tab', scope='tab', window=self._win_id,
-                             tab=self._tab_id)
-            abort_on.append(tab.load_started)
-
+        abort_on = self._get_abort_signals(owner)
         return message.ask(title=title, text=text, mode=mode,
                            abort_on=abort_on, default=default)
 
@@ -248,11 +233,8 @@ class NetworkManager(QNetworkAccessManager):
             reply: The QNetworkReply that is encountering the errors.
             errors: A list of errors.
         """
-        errors = [SslError(e) for e in errors]
-        ssl_strict = config.get('network', 'ssl-strict')
-        log.webview.debug("SSL errors {!r}, strict {}".format(
-            errors, ssl_strict))
-
+        errors = [webkittab.CertificateErrorWrapper(e) for e in errors]
+        log.webview.debug("Certificate errors {!r}".format(errors))
         try:
             host_tpl = urlutils.host_tuple(reply.url())
         except ValueError:
@@ -268,42 +250,22 @@ class NetworkManager(QNetworkAccessManager):
         log.webview.debug("Already accepted: {} / "
                           "rejected {}".format(is_accepted, is_rejected))
 
-        if (ssl_strict and ssl_strict != 'ask') or is_rejected:
+        if is_rejected:
             return
         elif is_accepted:
             reply.ignoreSslErrors()
             return
 
-        if ssl_strict == 'ask':
-            err_template = jinja2.Template("""
-                Errors while loading <b>{{url.toDisplayString()}}</b>:<br/>
-                <ul>
-                {% for err in errors %}
-                   <li>{{err.errorString()}}</li>
-                {% endfor %}
-                </ul>
-            """.strip())
-            msg = err_template.render(url=reply.url(), errors=errors)
-
-            answer = self._ask('SSL errors - continue?', msg,
-                               mode=usertypes.PromptMode.yesno, owner=reply,
-                               default=False)
-            log.webview.debug("Asked for SSL errors, answer {}".format(answer))
-            if answer:
-                reply.ignoreSslErrors()
-                err_dict = self._accepted_ssl_errors
-            else:
-                err_dict = self._rejected_ssl_errors
-            if host_tpl is not None:
-                err_dict[host_tpl] += errors
-        else:
-            log.webview.debug("ssl-strict is False, only warning about errors")
-            for err in errors:
-                # FIXME we might want to use warn here (non-fatal error)
-                # https://github.com/The-Compiler/qutebrowser/issues/114
-                message.error('SSL error: {}'.format(err.errorString()))
+        abort_on = self._get_abort_signals(reply)
+        ignore = shared.ignore_certificate_errors(reply.url(), errors,
+                                                  abort_on=abort_on)
+        if ignore:
             reply.ignoreSslErrors()
-            self._accepted_ssl_errors[host_tpl] += errors
+            err_dict = self._accepted_ssl_errors
+        else:
+            err_dict = self._rejected_ssl_errors
+        if host_tpl is not None:
+            err_dict[host_tpl] += errors
 
     def clear_all_ssl_errors(self):
         """Clear all remembered SSL errors."""
@@ -347,12 +309,7 @@ class NetworkManager(QNetworkAccessManager):
             authenticator.setUser(user)
             authenticator.setPassword(password)
         else:
-            abort_on = [self.shutting_down, reply.destroyed]
-            if self._tab_id is not None:
-                tab = objreg.get('tab', scope='tab', window=self._win_id,
-                                tab=self._tab_id)
-                abort_on.append(tab.load_started)
-
+            abort_on = self._get_abort_signals(reply)
             shared.authentication_required(reply.url(), authenticator,
                                            abort_on=abort_on)
 
diff --git a/qutebrowser/browser/webkit/webkittab.py b/qutebrowser/browser/webkit/webkittab.py
index 61de1bd54..a2bbb2b9a 100644
--- a/qutebrowser/browser/webkit/webkittab.py
+++ b/qutebrowser/browser/webkit/webkittab.py
@@ -30,11 +30,12 @@ from PyQt5.QtWidgets import QApplication
 from PyQt5.QtWebKitWidgets import QWebPage, QWebFrame
 from PyQt5.QtWebKit import QWebSettings
 from PyQt5.QtPrintSupport import QPrinter
+from PyQt5.QtNetwork import QSslError
 
 from qutebrowser.browser import browsertab
 from qutebrowser.browser.webkit import webview, tabhistory, webkitelem
 from qutebrowser.browser.webkit.network import proxy, webkitqutescheme
-from qutebrowser.utils import qtutils, objreg, usertypes, utils, log
+from qutebrowser.utils import qtutils, objreg, usertypes, utils, log, debug
 
 
 def init():
@@ -49,6 +50,36 @@ def init():
     objreg.register('js-bridge', js_bridge)
 
 
+class CertificateErrorWrapper(browsertab.AbstractCertificateErrorWrapper):
+
+    """A wrapper over a QSslError."""
+
+    def __init__(self, error):
+        self._error = error
+
+    def __str__(self):
+        return self._error.errorString()
+
+    def __repr__(self):
+        return utils.get_repr(
+            self, error=debug.qenum_key(QSslError, self._error.error()),
+            string=str(self))
+
+    def __hash__(self):
+        try:
+            # Qt >= 5.4
+            return hash(self._error)
+        except TypeError:
+            return hash((self._error.certificate().toDer(),
+                         self._error.error()))
+
+    def __eq__(self, other):
+        return self._error == other._error
+
+    def is_overridable(self):
+        return True
+
+
 class WebKitPrinting(browsertab.AbstractPrinting):
 
     """QtWebKit implementations related to printing."""
diff --git a/qutebrowser/config/configdata.py b/qutebrowser/config/configdata.py
index d55830380..a841d0567 100644
--- a/qutebrowser/config/configdata.py
+++ b/qutebrowser/config/configdata.py
@@ -430,8 +430,7 @@ def data(readonly=False):
              "Whether to send DNS requests over the configured proxy."),
 
             ('ssl-strict',
-             SettingValue(typ.BoolAsk(), 'ask',
-                          backends=[usertypes.Backend.QtWebKit]),
+             SettingValue(typ.BoolAsk(), 'ask'),
              "Whether to validate SSL handshakes."),
 
             ('dns-prefetch',
diff --git a/tests/end2end/features/prompts.feature b/tests/end2end/features/prompts.feature
index 12497857b..90e2e6d9c 100644
--- a/tests/end2end/features/prompts.feature
+++ b/tests/end2end/features/prompts.feature
@@ -166,16 +166,14 @@ Feature: Prompts
 
     # SSL
 
-    @qtwebengine_todo: SSL errors are not implemented yet
     Scenario: SSL error with ssl-strict = false
         When I run :debug-clear-ssl-errors
         And I set network -> ssl-strict to false
         And I load an SSL page
         And I wait until the SSL page finished loading
-        Then the error "SSL error: *" should be shown
+        Then the error "Certificate error: *" should be shown
         And the page should contain the plaintext "Hello World via SSL!"
 
-    @qtwebengine_todo: SSL errors are not implemented yet
     Scenario: SSL error with ssl-strict = true
         When I run :debug-clear-ssl-errors
         And I set network -> ssl-strict to true
@@ -183,7 +181,6 @@ Feature: Prompts
         Then "Error while loading *: SSL handshake failed" should be logged
         And the page should contain the plaintext "Unable to load page"
 
-    @qtwebengine_todo: SSL errors are not implemented yet
     Scenario: SSL error with ssl-strict = ask -> yes
         When I run :debug-clear-ssl-errors
         And I set network -> ssl-strict to ask
@@ -193,7 +190,6 @@ Feature: Prompts
         And I wait until the SSL page finished loading
         Then the page should contain the plaintext "Hello World via SSL!"
 
-    @qtwebengine_todo: SSL errors are not implemented yet
     Scenario: SSL error with ssl-strict = ask -> no
         When I run :debug-clear-ssl-errors
         And I set network -> ssl-strict to ask
@@ -473,7 +469,6 @@ Feature: Prompts
 
     # https://github.com/The-Compiler/qutebrowser/issues/1249#issuecomment-175205531
     # https://github.com/The-Compiler/qutebrowser/pull/2054#issuecomment-258285544
-    @qtwebengine_todo: SSL errors are not implemented yet
     Scenario: Interrupting SSL prompt during a notification prompt
         When I set content -> notifications to ask
         And I set network -> ssl-strict to ask
diff --git a/tests/end2end/fixtures/quteprocess.py b/tests/end2end/fixtures/quteprocess.py
index 46a0d2ff7..4db75e55b 100644
--- a/tests/end2end/fixtures/quteprocess.py
+++ b/tests/end2end/fixtures/quteprocess.py
@@ -53,6 +53,19 @@ def is_ignored_qt_message(message):
     return False
 
 
+def is_ignored_lowlevel_message(message):
+    """Check if we want to ignore a lowlevel process output."""
+    if 'Running without the SUID sandbox!' in message:
+        return True
+    elif message.startswith('Xlib: sequence lost'):
+        # https://travis-ci.org/The-Compiler/qutebrowser/jobs/157941720
+        # ???
+        return True
+    elif 'CERT_PKIXVerifyCert for localhost failed' in message:
+        return True
+    return False
+
+
 class LogLine(testprocess.Line):
 
     """A parsed line from the qutebrowser log output.
@@ -222,14 +235,7 @@ class QuteProc(testprocess.Process):
         except testprocess.InvalidLine:
             if not line.strip():
                 return None
-            elif 'Running without the SUID sandbox!' in line:
-                # QtWebEngine error
-                return None
-            elif line.startswith('Xlib: sequence lost'):
-                # https://travis-ci.org/The-Compiler/qutebrowser/jobs/157941720
-                # ???
-                return None
-            elif is_ignored_qt_message(line):
+            elif is_ignored_qt_message(line) or is_ignored_lowlevel_message(line):
                 return None
             else:
                 raise