How to make python code written in windows to run on linux

I have made a GUI application in python3.4 on windows. It is working fine on windows. Here are the list of packages I have used in windows :-

1. python3.4
2. python Win for 3.4
3. Pillow-2.7.0.win32-py3.4

Now I want to run this application on linux. Could you all please suggest the packages corresponding to the mentioned above in linux and how can I run the gui application on linux??