diff --git a/dlib/cmake_utils/add_python_module b/dlib/cmake_utils/add_python_module
index 2059af7e45..bb6c318937 100644
--- a/dlib/cmake_utils/add_python_module
+++ b/dlib/cmake_utils/add_python_module
@@ -68,7 +68,7 @@ if (PYTHON3)
     if (NOT Boost_FOUND)
         FIND_PACKAGE(Boost 1.41.0 COMPONENTS python)
     endif()
-    set(Python_ADDITIONAL_VERSIONS 3.5)
+    set(Python_ADDITIONAL_VERSIONS 3.5 3.6)
     FIND_PACKAGE(PythonLibs 3.4 REQUIRED)
 else()
     FIND_PACKAGE(Boost 1.41.0 COMPONENTS python)