diff --git a/CMakeLists.txt b/CMakeLists.txt
index 4f1356bc7136be4931799b8843739be676576505..93d5bb2165521a24a9a225bee8ec6583c57191b4 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -202,7 +202,7 @@ endif()
 file(GLOB CHAIN_COMMON_PYTHON_SRCS src/*.c)
 file(GLOB CHAIN_COMMON_PYTHON_HEADERS include/*.h)
 
-set(Python_ADDITIONAL_VERSIONS 3.7)
+set(Python_ADDITIONAL_VERSIONS 3.7 3.6 3.5 3.4)
 find_package (PythonLibs REQUIRED)
 include_directories(${PYTHON_INCLUDE_DIR} include/)