diff --git a/Lib/http/server.py b/Lib/http/server.py
index 1f4d1bb..b0548cf 100644
--- a/Lib/http/server.py
+++ b/Lib/http/server.py
@@ -969,16 +969,16 @@
     def run_cgi(self):
         """Execute a CGI script."""
         dir, rest = self.cgi_info
-
-        i = rest.find('/')
+        path = dir + '/' + rest
+        i = path.find('/', len(dir)+1)
         while i >= 0:
-            nextdir = rest[:i]
-            nextrest = rest[i+1:]
+            nextdir = path[:i]
+            nextrest = path[i+1:]
 
             scriptdir = self.translate_path(nextdir)
             if os.path.isdir(scriptdir):
                 dir, rest = nextdir, nextrest
-                i = rest.find('/')
+                i = path.find('/', len(dir)+1)
             else:
                 break
 
diff --git a/Lib/test/test_httpservers.py b/Lib/test/test_httpservers.py
index bed55e8..7d64318 100644
--- a/Lib/test/test_httpservers.py
+++ b/Lib/test/test_httpservers.py
@@ -321,10 +321,13 @@
         self.cwd = os.getcwd()
         self.parent_dir = tempfile.mkdtemp()
         self.cgi_dir = os.path.join(self.parent_dir, 'cgi-bin')
+        self.cgi_child_dir = os.path.join(self.cgi_dir, 'child-dir')
         os.mkdir(self.cgi_dir)
+        os.mkdir(self.cgi_child_dir)
         self.nocgi_path = None
         self.file1_path = None
         self.file2_path = None
+        self.file3_path = None
 
         # The shebang line should be pure ASCII: use symlink if possible.
         # See issue #7668.
@@ -358,6 +361,11 @@
             file2.write(cgi_file2 % self.pythonexe)
         os.chmod(self.file2_path, 0o777)
 
+        self.file3_path = os.path.join(self.cgi_child_dir, 'file3.py')
+        with open(self.file3_path, 'w', encoding='utf-8') as file3:
+            file3.write(cgi_file1 % self.pythonexe)
+        os.chmod(self.file3_path, 0o777)
+
         os.chdir(self.parent_dir)
 
     def tearDown(self):
@@ -371,6 +379,9 @@
                 os.remove(self.file1_path)
             if self.file2_path:
                 os.remove(self.file2_path)
+            if self.file3_path:
+                os.remove(self.file3_path)
+            os.rmdir(self.cgi_child_dir)
             os.rmdir(self.cgi_dir)
             os.rmdir(self.parent_dir)
         finally:
@@ -466,6 +477,11 @@
         self.assertEqual((b'Hello World' + self.linesep, 'text/html', 200),
                 (res.read(), res.getheader('Content-type'), res.status))
 
+    def test_nested_cgi_path_issue21323(self):
+        res = self.request('/cgi-bin/child-dir/file3.py')
+        self.assertEqual((b'Hello World' + self.linesep, 'text/html', 200),
+                (res.read(), res.getheader('Content-type'), res.status))
+
 
 class SocketlessRequestHandler(SimpleHTTPRequestHandler):
     def __init__(self):
diff --git a/Misc/ACKS b/Misc/ACKS
index a932074..c1df480 100644
--- a/Misc/ACKS
+++ b/Misc/ACKS
@@ -164,6 +164,7 @@
 Tarn Weisner Burton
 Lee Busby
 Ralph Butler
+Zach Byrne
 Jp Calderone
 Arnaud Calmettes
 Daniel Calvelo
diff --git a/Misc/NEWS b/Misc/NEWS
index 6070711..12f02b3 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -36,6 +36,9 @@
 - Issue #17980: Fix possible abuse of ssl.match_hostname() for denial of
   service using certificates with many wildcards (CVE-2013-2099).
 
+- Issue #21323: Fix http.server to again handle scripts in CGI subdirectories,
+  broken by the fix for security issue #19435.  Patch by Zach Byrne.
+
 
 What's New in Python 3.2.5?
 ===========================