diff --git a/doc/_templates/index.html b/doc/_templates/index.html
index 5a8a2f025..f5a80d5ad 100644
--- a/doc/_templates/index.html
+++ b/doc/_templates/index.html
@@ -98,7 +98,7 @@
   <p>{%trans%}There is a <a href="http://docs.sphinx-users.jp/">Japanese translation</a>
     of this documentation, thanks to the Japanese Sphinx user group.{%endtrans%}</p>
   <p>{%trans%}A Japanese book about Sphinx has been published by O'Reilly:
-    <a href="http://www.oreilly.co.jp/books/9784873116488/">Sphinxをはじめよう /
+    <a href="https://www.oreilly.co.jp/books/9784873116488/">Sphinxをはじめよう /
       Learning Sphinx</a>.{%endtrans%}</p>
   <!-- <p><img src="{{ pathto("_static/bookcover.png", 1) }}"/></p> -->
 
diff --git a/doc/_templates/indexsidebar.html b/doc/_templates/indexsidebar.html
index b07ef2033..668070579 100644
--- a/doc/_templates/indexsidebar.html
+++ b/doc/_templates/indexsidebar.html
@@ -1,4 +1,4 @@
-<p class="logo">A <a href="http://pocoo.org/">
+<p class="logo">A <a href="https://www.pocoo.org/">
   <img src="{{ pathto("_static/pocoo.png", 1) }}" alt="Pocoo" /></a>
   {%trans%}project{%endtrans%}</p>
 
@@ -19,9 +19,9 @@ Index</a>, or install it with:{%endtrans%}</p>
 
 <h3>{%trans%}Questions? Suggestions?{%endtrans%}</h3>
 
-<p>{%trans%}Join the <a href="http://groups.google.com/group/sphinx-users">sphinx-users</a> mailing list on Google Groups:{%endtrans%}</p>
+<p>{%trans%}Join the <a href="https://groups.google.com/group/sphinx-users">sphinx-users</a> mailing list on Google Groups:{%endtrans%}</p>
 <div class="subscribeformwrapper">
-<form action="http://groups.google.com/group/sphinx-users/boxsubscribe"
+<form action="https://groups.google.com/group/sphinx-users/boxsubscribe"
       class="subscribeform">
   <input type="text" name="email" value="your@email"
          onfocus="$(this).val('');" />
diff --git a/doc/builders.rst b/doc/builders.rst
index ff56881af..ec550e825 100644
--- a/doc/builders.rst
+++ b/doc/builders.rst
@@ -216,7 +216,7 @@ instructions.
 .. _rinohtype: https://github.com/brechtm/rinohtype
 .. _rinohtype manual: http://www.mos6581.org/rinohtype/quickstart.html#sphinx-builder
 .. _rst2pdf: https://github.com/rst2pdf/rst2pdf
-.. _rst2pdf manual: http://ralsina.me/static/manual.pdf
+.. _rst2pdf manual: https://ralsina.me/static/manual.pdf
 
 .. module:: sphinx.builders.text
 .. class:: TextBuilder
diff --git a/doc/develop.rst b/doc/develop.rst
index 19ca81ef9..af0302367 100644
--- a/doc/develop.rst
+++ b/doc/develop.rst
@@ -12,7 +12,7 @@ Sphinx is a maintained by a group of volunteers.  We value every contribution!
 * The mailing list for development is at `Google Groups
   <https://groups.google.com/forum/#!forum/sphinx-dev>`_.
 * There is also the #sphinx-doc IRC channel on `freenode
-  <http://freenode.net/>`_.
+  <https://freenode.net/>`_.
 
 For more about our development process and methods, see the :doc:`devguide`.
 
@@ -106,37 +106,37 @@ own extensions.
 
 .. _aafigure: https://launchpad.net/aafigure
 .. _gnuplot: http://www.gnuplot.info/
-.. _paver: http://paver.github.io/paver/
-.. _Sword: http://www.crosswire.org/sword/
+.. _paver: https://paver.readthedocs.io/en/latest/
+.. _Sword: https://www.crosswire.org/sword/
 .. _Lilypond: http://lilypond.org/
 .. _sdedit: http://sdedit.sourceforge.net/
-.. _Trac: http://trac.edgewall.org
-.. _TracLinks: http://trac.edgewall.org/wiki/TracLinks
-.. _OmegaT: http://www.omegat.org/
+.. _Trac: https://trac.edgewall.org/
+.. _TracLinks: https://trac.edgewall.org/wiki/TracLinks
+.. _OmegaT: https://omegat.org/
 .. _PlantUML: http://plantuml.com/
-.. _PyEnchant: http://www.rfk.id.au/software/pyenchant/
+.. _PyEnchant: https://pythonhosted.org/pyenchant/
 .. _sadisplay: https://bitbucket.org/estin/sadisplay/wiki/Home
 .. _blockdiag: http://blockdiag.com/en/
 .. _seqdiag: http://blockdiag.com/en/
 .. _actdiag: http://blockdiag.com/en/
 .. _nwdiag: http://blockdiag.com/en/
-.. _Google Analytics: http://www.google.com/analytics/
+.. _Google Analytics: https://www.google.com/analytics/
 .. _Google Chart: https://developers.google.com/chart/
 .. _Google Maps: https://www.google.com/maps
 .. _Google style: https://google.github.io/styleguide/pyguide.html
 .. _NumPy style: https://github.com/numpy/numpy/blob/master/doc/HOWTO_DOCUMENT.rst.txt
 .. _hyphenator: https://github.com/mnater/hyphenator
-.. _exceltable: http://pythonhosted.org/sphinxcontrib-exceltable/
+.. _exceltable: https://pythonhosted.org/sphinxcontrib-exceltable/
 .. _YouTube: http://www.youtube.com/
-.. _ClearQuest: http://www-03.ibm.com/software/products/en/clearquest
-.. _Zope interfaces: http://docs.zope.org/zope.interface/README.html
-.. _slideshare: http://www.slideshare.net/
+.. _ClearQuest: https://www.ibm.com/us-en/marketplace/rational-clearquest
+.. _Zope interfaces: https://zopeinterface.readthedocs.io/en/latest/README.html
+.. _slideshare: https://www.slideshare.net/
 .. _TikZ/PGF LaTeX package: https://sourceforge.net/projects/pgf/
-.. _MATLAB: http://www.mathworks.com/products/matlab/
+.. _MATLAB: https://www.mathworks.com/products/matlab.html
 .. _swf: https://bitbucket.org/klorenz/sphinxcontrib-swf
 .. _findanything: https://bitbucket.org/klorenz/sphinxcontrib-findanything
 .. _cmakedomain: https://bitbucket.org/klorenz/sphinxcontrib-cmakedomain
-.. _GNU Make: http://www.gnu.org/software/make/
+.. _GNU Make: https://www.gnu.org/software/make/
 .. _makedomain: https://bitbucket.org/klorenz/sphinxcontrib-makedomain
 .. _inlinesyntaxhighlight: https://sphinxcontrib-inlinesyntaxhighlight.readthedocs.io/
 .. _CMake: https://cmake.org
diff --git a/doc/ext/example_google.py b/doc/ext/example_google.py
index 5b4fa58df..4f6abacdf 100644
--- a/doc/ext/example_google.py
+++ b/doc/ext/example_google.py
@@ -29,7 +29,7 @@ Todo:
     * You have to also use ``sphinx.ext.todo`` extension
 
 .. _Google Python Style Guide:
-   http://google.github.io/styleguide/pyguide.html
+   https://google.github.io/styleguide/pyguide.html
 
 """
 
diff --git a/doc/ext/graphviz.rst b/doc/ext/graphviz.rst
index ef0483da7..8b9fff90b 100644
--- a/doc/ext/graphviz.rst
+++ b/doc/ext/graphviz.rst
@@ -8,7 +8,7 @@
 
 .. versionadded:: 0.6
 
-This extension allows you to embed `Graphviz <http://graphviz.org/>`_ graphs in
+This extension allows you to embed `Graphviz <https://graphviz.org/>`_ graphs in
 your documents.
 
 It adds these directives:
diff --git a/doc/ext/linkcode.rst b/doc/ext/linkcode.rst
index 05d2cc6db..f00345fca 100644
--- a/doc/ext/linkcode.rst
+++ b/doc/ext/linkcode.rst
@@ -44,4 +44,4 @@ function that returns an URL based on the object.
           if not info['module']:
               return None
           filename = info['module'].replace('.', '/')
-          return "http://somesite/sourcerepo/%s.py" % filename
+          return "https://somesite/sourcerepo/%s.py" % filename
diff --git a/doc/ext/math.rst b/doc/ext/math.rst
index 4097bb29e..3e4f94c6c 100644
--- a/doc/ext/math.rst
+++ b/doc/ext/math.rst
@@ -248,7 +248,7 @@ Sphinx.
 
    __ https://cdjns.com
 
-   __ http://docs.mathjax.org/en/latest/start.html
+   __ https://docs.mathjax.org/en/latest/start.html
 
    The path can be absolute or relative; if it is relative, it is relative to
    the ``_static`` directory of the built docs.
@@ -258,7 +258,7 @@ Sphinx.
    documentation set on one server, it is advisable to install MathJax in a
    shared location.
 
-   You can also give a full ``http://`` URL different from the CDN URL.
+   You can also give a full ``https://`` URL different from the CDN URL.
 
 
 :mod:`sphinx.ext.jsmath` -- Render math via JavaScript
@@ -284,9 +284,9 @@ package jsMath_.  It provides this config value:
    a shared location.
 
 
-.. _dvipng: http://savannah.nongnu.org/projects/dvipng/
+.. _dvipng: https://savannah.nongnu.org/projects/dvipng/
 .. _dvisvgm: http://dvisvgm.bplaced.net/
 .. _MathJax: https://www.mathjax.org/
 .. _jsMath: http://www.math.union.edu/~dpvc/jsmath/
-.. _preview-latex package: http://www.gnu.org/software/auctex/preview-latex.html
-.. _AmSMath LaTeX package: http://www.ams.org/publications/authors/tex/amslatex
+.. _preview-latex package: https://www.gnu.org/software/auctex/preview-latex.html
+.. _AmSMath LaTeX package: https://www.ams.org/publications/authors/tex/amslatex
diff --git a/doc/ext/napoleon.rst b/doc/ext/napoleon.rst
index f7e9081f7..870c2454d 100644
--- a/doc/ext/napoleon.rst
+++ b/doc/ext/napoleon.rst
@@ -52,9 +52,9 @@ source code files.
 .. _ReStructuredText: http://docutils.sourceforge.net/rst.html
 .. _docstrings: https://www.python.org/dev/peps/pep-0287/
 .. _Google Python Style Guide:
-   http://google.github.io/styleguide/pyguide.html
+   https://google.github.io/styleguide/pyguide.html
 .. _Google:
-   http://google.github.io/styleguide/pyguide.html#Comments
+   https://google.github.io/styleguide/pyguide.html#Comments
 .. _NumPy:
    https://github.com/numpy/numpy/blob/master/doc/HOWTO_DOCUMENT.rst.txt
 .. _Khan Academy:
@@ -267,7 +267,7 @@ sure that "sphinx.ext.napoleon" is enabled in `conf.py`::
     napoleon_use_rtype = True
 
 .. _Google style:
-   http://google-styleguide.googlecode.com/svn/trunk/pyguide.html
+   https://google.github.io/styleguide/pyguide.html
 .. _NumPy style:
    https://github.com/numpy/numpy/blob/master/doc/HOWTO_DOCUMENT.rst.txt
 
diff --git a/doc/faq.rst b/doc/faq.rst
index fe3173749..6643b18c8 100644
--- a/doc/faq.rst
+++ b/doc/faq.rst
@@ -77,7 +77,7 @@ PyPI
    Jannis Leidel wrote a `setuptools command
    <https://pypi.python.org/pypi/Sphinx-PyPI-upload>`_ that automatically
    uploads Sphinx documentation to the PyPI package documentation area at
-   http://pythonhosted.org/.
+   https://pythonhosted.org/.
 
 GitHub Pages
    Directories starting with underscores are ignored by default which breaks
@@ -106,7 +106,7 @@ Google Analytics
 
       {% block footer %}
       {{ super() }}
-      <div class="footer">This page uses <a href="http://analytics.google.com/">
+      <div class="footer">This page uses <a href="https://analytics.google.com/">
       Google Analytics</a> to collect statistics. You can disable it by blocking
       the JavaScript coming from www.google-analytics.com.
       <script type="text/javascript">
@@ -122,7 +122,7 @@ Google Analytics
       {% endblock %}
 
 
-.. _api role: http://git.savannah.gnu.org/cgit/kenozooid.git/tree/doc/extapi.py
+.. _api role: https://git.savannah.gnu.org/cgit/kenozooid.git/tree/doc/extapi.py
 .. _xhtml to reST: http://docutils.sourceforge.net/sandbox/xhtml2rest/xhtml2rest.py
 
 
diff --git a/doc/intl.rst b/doc/intl.rst
index dacced65b..f9c611197 100644
--- a/doc/intl.rst
+++ b/doc/intl.rst
@@ -13,7 +13,7 @@ in itself.  See the :ref:`intl-options` for details on configuration.
    :width: 100%
 
    Workflow visualization of translations in Sphinx.  (The stick-figure is taken
-   from an `XKCD comic <http://xkcd.com/779/>`_.)
+   from an `XKCD comic <https://xkcd.com/779/>`_.)
 
 .. contents::
    :local:
@@ -302,7 +302,7 @@ There is `sphinx translation page`_ for Sphinx-1.3 documentation.
 .. rubric:: Footnotes
 
 .. [1] See the `GNU gettext utilities
-       <http://www.gnu.org/software/gettext/manual/gettext.html#Introduction>`_
+       <https://www.gnu.org/software/gettext/manual/gettext.html#Introduction>`_
        for details on that software suite.
 .. [2] Because nobody expects the Spanish Inquisition!
 
@@ -311,4 +311,4 @@ There is `sphinx translation page`_ for Sphinx-1.3 documentation.
 .. _`sphinx-intl`: https://pypi.python.org/pypi/sphinx-intl
 .. _Transifex: https://www.transifex.com/
 .. _`sphinx translation page`: https://www.transifex.com/sphinx-doc/sphinx-doc-1_3/
-.. _`Transifex Client v0.8 &mdash; Transifex documentation`: http://docs.transifex.com/developer/client/
+.. _`Transifex Client v0.8 &mdash; Transifex documentation`: https://docs.transifex.com/client/introduction/
diff --git a/doc/intro.rst b/doc/intro.rst
index a789145fe..1d4452a40 100644
--- a/doc/intro.rst
+++ b/doc/intro.rst
@@ -34,7 +34,7 @@ to reStructuredText/Sphinx from other documentation systems.
 
 * For converting the old Python docs to Sphinx, a converter was written which
   can be found at `the Python SVN repository
-  <http://svn.python.org/projects/doctools/converter>`_.  It contains generic
+  <https://svn.python.org/projects/doctools/converter/>`_.  It contains generic
   code to convert Python-doc-style LaTeX markup to Sphinx reST.
 
 * Marcin Wojdyr has written a script to convert Docbook to reST with Sphinx
@@ -43,7 +43,7 @@ to reStructuredText/Sphinx from other documentation systems.
 * Christophe de Vienne wrote a tool to convert from Open/LibreOffice documents
   to Sphinx: `odt2sphinx <https://pypi.python.org/pypi/odt2sphinx/>`_.
 
-* To convert different markups, `Pandoc <http://pandoc.org/>`_ is
+* To convert different markups, `Pandoc <https://pandoc.org/>`_ is
   a very helpful tool.
 
 
diff --git a/doc/markdown.rst b/doc/markdown.rst
index 75a35b9d0..e94a821da 100644
--- a/doc/markdown.rst
+++ b/doc/markdown.rst
@@ -9,7 +9,7 @@ Markdown support
 text formatting syntax.
 It exists in many syntactically different *flavors*.
 To support Markdown-based documentation, Sphinx can use
-`recommonmark <http://recommonmark.readthedocs.io/en/latest/index.html>`__.
+`recommonmark <https://recommonmark.readthedocs.io/en/latest/index.html>`__.
 recommonmark is a Docutils bridge to `CommonMark-py <https://github.com/rtfd/CommonMark-py>`__, a
 Python package for parsing the `CommonMark <http://commonmark.org/>`__ Markdown flavor.
 
@@ -42,4 +42,4 @@ To configure your Sphinx project for Markdown support, proceed as follows:
       source_suffix = ['.rst', '.md']
 
 #. You can further configure recommonmark to allow custom syntax that standard CommonMark doesn't support. Read more in
-   the `recommonmark documentation <http://recommonmark.readthedocs.io/en/latest/auto_structify.html>`__.
+   the `recommonmark documentation <https://recommonmark.readthedocs.io/en/latest/auto_structify.html>`__.
diff --git a/doc/rest.rst b/doc/rest.rst
index fbc3f2254..b059b873b 100644
--- a/doc/rest.rst
+++ b/doc/rest.rst
@@ -194,7 +194,7 @@ Hyperlinks
 External links
 ^^^^^^^^^^^^^^
 
-Use ```Link text <http://example.com/>`_`` for inline web links.  If the link
+Use ```Link text <https://domain.invalid/>`_`` for inline web links.  If the link
 text should be the web address, you don't need special markup at all, the parser
 finds links and mail addresses in ordinary text.
 
@@ -205,7 +205,7 @@ You can also separate the link and the target definition (:duref:`ref
 
    This is a paragraph that contains `a link`_.
 
-   .. _a link: http://example.com/
+   .. _a link: https://domain.invalid/
 
 
 Internal links
diff --git a/doc/templating.rst b/doc/templating.rst
index 66f72716b..6dc721ed3 100644
--- a/doc/templating.rst
+++ b/doc/templating.rst
@@ -62,7 +62,7 @@ following contents::
 
     {% extends "!layout.html" %}
     {% block rootrellink %}
-        <li><a href="http://project.invalid/">Project Homepage</a> &raquo;</li>
+        <li><a href="https://project.invalid/">Project Homepage</a> &raquo;</li>
         {{ super() }}
     {% endblock %}
 
diff --git a/doc/theming.rst b/doc/theming.rst
index 32aef20fa..80fc6e685 100644
--- a/doc/theming.rst
+++ b/doc/theming.rst
@@ -135,7 +135,7 @@ These themes are:
   :confval:`html_sidebars` for its use.
 
   .. _Alabaster theme: https://pypi.python.org/pypi/alabaster
-  .. _installation page: http://alabaster.readthedocs.io/en/latest/installation.html
+  .. _installation page: https://alabaster.readthedocs.io/en/latest/installation.html
 
 * **classic** -- This is the classic theme, which looks like `the Python 2
   documentation <https://docs.python.org/2/>`_.  It can be customized via