diff --git INSTALL INSTALL
index 6c08d02..cb23d1f 100644
--- INSTALL
+++ INSTALL
@@ -2,7 +2,7 @@ Requirements
 
   Python 2.6 or 2.7.
 
-  Zope Interfaces 3.3.0 or better (http://pypi.python.org/pypi/zope.interface)
+  Zope Interface 3.6.0 or better (http://pypi.python.org/pypi/zope.interface)
 
   pyOpenSSL (<http://launchpad.net/pyopenssl>) is required for any SSL APIs.  On
   Windows, version 0.10 or newer is required.  pyOpenSSL 0.10 or newer is also
diff --git setup.py setup.py
index 9e511b9..bc5878e 100755
--- setup.py
+++ setup.py
@@ -62,7 +62,7 @@ on event-based network programming and multiprotocol integration.
 
     if 'setuptools' in sys.modules:
         from pkg_resources import parse_requirements
-        requirements = ["zope.interface"]
+        requirements = ["zope.interface>=3.6.0"]
         try:
             list(parse_requirements(requirements))
         except:
diff --git twisted/topfiles/5683.feature twisted/topfiles/5683.feature
new file mode 100644
index 0000000..db28298
--- /dev/null
+++ twisted/topfiles/5683.feature
@@ -0,0 +1 @@
+The minimum required version of zope.interface is now 3.6.0.
\ No newline at end of file