python
diff --git a/Doc/library/http.server.rst b/Doc/library/http.server.rst
@@ -32,14 +32,26 @@ handler.  Code to create and run the server looks like this::
        httpd.serve_forever()
 
 
-.. class:: HTTPServer(server_address, RequestHandlerClass)
+.. class:: HTTPServer(server_address, RequestHandlerClass, \
+                      bind_and_activate=True, *, tls=None)
 
    This class builds on the :class:`~socketserver.TCPServer` class by storing
    the server address as instance variables named :attr:`server_name` and
    :attr:`server_port`. The server is accessible by the handler, typically
    through the handler's :attr:`server` instance variable.
 
-.. class:: ThreadingHTTPServer(server_address, RequestHandlerClass)
+   HTTPS support can be enabled using the *tls* argument. In this case, it must
+   be a tuple of two strings, the first being the path to an SSL certificate and
+   the second the path to its private key.
+
+   .. warning::
+
+      The HTTPS support is for development and test puposes and must not be used
+      in production.
+
+
+.. class:: ThreadingHTTPServer(server_address, RequestHandlerClass, \
+                               bind_and_activate=True, *, tls=None)
 
    This class is identical to HTTPServer but uses threads to handle
    requests by using the :class:`~socketserver.ThreadingMixIn`. This

diff --git a/Lib/http/server.py b/Lib/http/server.py
@@ -101,6 +101,7 @@
 import socket # For gethostbyaddr()
 import socketserver
 import sys
+import ssl
 import time
 import urllib.parse
 import contextlib
@@ -131,7 +132,23 @@
 
 class HTTPServer(socketserver.TCPServer):
 
-    allow_reuse_address = 1    # Seems to make sense in testing environment
+    allow_reuse_address = True    # Seems to make sense in testing environment
+
+    def __init__(self, server_address, RequestHandlerClass,
+            bind_and_activate=True, *, tls=None):
+        if tls is None:
+            self.tls_cert = self.tls_key = None
+        else:
+            self.tls_cert, self.tls_key = tls
+        super().__init__(server_address, RequestHandlerClass, bind_and_activate)
+
+    def server_activate(self):
+        """Wrap the socket in SSLSocket if TLS is enabled"""
+        super().server_activate()
+        if self.tls_cert and self.tls_key:
+            context = ssl.SSLContext(ssl.PROTOCOL_TLS_SERVER)
+            context.load_cert_chain(self.tls_cert, self.tls_key)
+            self.socket = context.wrap_socket(self.socket, server_side=True)
 
     def server_bind(self):
         """Override server_bind to store the server name."""
@@ -1237,7 +1254,7 @@ def _get_best_family(*address):
 
 def test(HandlerClass=BaseHTTPRequestHandler,
          ServerClass=ThreadingHTTPServer,
-         protocol="HTTP/1.0", port=8000, bind=None):
+         protocol="HTTP/1.0", port=8000, bind=None, tls=None):
     """Test the HTTP request handler class.
 
     This runs an HTTP server on port 8000 (or the port argument).
@@ -1246,12 +1263,13 @@ def test(HandlerClass=BaseHTTPRequestHandler,
     ServerClass.address_family, addr = _get_best_family(bind, port)
 
     HandlerClass.protocol_version = protocol
-    with ServerClass(addr, HandlerClass) as httpd:
+    with ServerClass(addr, HandlerClass, tls=tls) as httpd:
         host, port = httpd.socket.getsockname()[:2]
         url_host = f'[{host}]' if ':' in host else host
+        protocol = 'HTTPS' if tls else 'HTTP'
         print(
-            f"Serving HTTP on {host} port {port} "
-            f"(http://{url_host}:{port}/) ..."
+            f"Serving {protocol} on {host} port {port} "
+            f"({protocol.lower()}://{url_host}:{port}/) ..."
         )
         try:
             httpd.serve_forever()
@@ -1275,7 +1293,19 @@ def test(HandlerClass=BaseHTTPRequestHandler,
                         default=8000, type=int,
                         nargs='?',
                         help='Specify alternate port [default: 8000]')
+    parser.add_argument('--tls-cert',
+                        help='Specify the path to a TLS certificate')
+    parser.add_argument('--tls-key',
+                        help='Specify the path to a TLS key')
     args = parser.parse_args()
+
+    if args.tls_cert is None and args.tls_key is None:
+        tls = None
+    elif not args.tls_cert or not args.tls_key:
+        parser.error('Both --tls-cert and --tls-key must be provided to enable TLS')
+    else:
+        tls = (args.tls_cert, args.tls_key)
+
     if args.cgi:
         handler_class = CGIHTTPRequestHandler
     else:
@@ -1296,4 +1326,5 @@ def server_bind(self):
         ServerClass=DualStackServer,
         port=args.port,
         bind=args.bind,
+        tls=tls
     )
diff --git a/Lib/test/test_httpservers.py b/Lib/test/test_httpservers.py
@@ -21,6 +21,7 @@
 import html
 import http.client
 import urllib.parse
+import ssl
 import tempfile
 import time
 import datetime
@@ -43,13 +44,18 @@ def read(self, n=None):
 
 
 class TestServerThread(threading.Thread):
-    def __init__(self, test_object, request_handler):
+    def __init__(self, test_object, request_handler, tls=None):
         threading.Thread.__init__(self)
         self.request_handler = request_handler
         self.test_object = test_object
+        self.tls = tls
 
     def run(self):
-        self.server = HTTPServer(('localhost', 0), self.request_handler)
+        self.server = HTTPServer(
+            ('localhost', 0),
+            self.request_handler,
+            tls=self.tls
+        )
         self.test_object.HOST, self.test_object.PORT = self.server.socket.getsockname()
         self.test_object.server_started.set()
         self.test_object = None
@@ -64,11 +70,13 @@ def stop(self):
 
 
 class BaseTestCase(unittest.TestCase):
+    tls = None
+
     def setUp(self):
         self._threads = threading_helper.threading_setup()
         os.environ = support.EnvironmentVarGuard()
         self.server_started = threading.Event()
-        self.thread = TestServerThread(self, self.request_handler)
+        self.thread = TestServerThread(self, self.request_handler, self.tls)
         self.thread.start()
         self.server_started.wait()
 
@@ -291,6 +299,31 @@ def test_head_via_send_error(self):
             self.assertEqual(b'', data)
 
 
+class BaseHTTPSServerTestCase(BaseTestCase):
+    # This is a simple test for the HTTPS support. If the GET works we don't
+    # need to test everything else as it will have been covered by
+    # BaseHTTPServerTestCase.
+
+    # We have to use the correct path from the folder created by regtest
+    tls = ('../../Lib/test/ssl_cert.pem', '../../Lib/test/ssl_key.pem')
+
+    class request_handler(NoLogRequestHandler, SimpleHTTPRequestHandler):
+        pass
+
+    def test_get(self):
+        response = self.request('/')
+        self.assertEqual(response.status, HTTPStatus.OK)
+
+    def request(self, uri, method='GET', body=None, headers={}):
+        self.connection = http.client.HTTPSConnection(
+            self.HOST,
+            self.PORT,
+            context=ssl._create_unverified_context()
+        )
+        self.connection.request(method, uri, body, headers)
+        return self.connection.getresponse()
+
+
 class RequestHandlerLoggingTestCase(BaseTestCase):
     class request_handler(BaseHTTPRequestHandler):
         protocol_version = 'HTTP/1.1'

diff --git a/Misc/NEWS.d/next/Library/2020-06-17-00-43-12.bpo-40990.dRTBRp.rst b/Misc/NEWS.d/next/Library/2020-06-17-00-43-12.bpo-40990.dRTBRp.rst
@@ -0,0 +1,4 @@
+A ``tls`` argument has been added to :class:`http.server.HTTPServer` and
+:class:`ThreadingHTTPServer` to enable HTTPS. The ``--tls-cert`` and
+``--tls-key`` argument have been added to ``python -m http.server``. Patch
+contributed by Rémi Lapeyre.