A free program for Android, by Mega Apps District.

Video Wallpaper Maker for Android is the perfect app for users who want to make their home and lock screens more attractive. You can make your own live wallpaper with a moving background and choose from a wide range of beautiful, high-quality videos. You will be able to create your own live wallpaper and you will be able to select the video that you want to use as the background. 

This is a free app, so you will not need to pay a penny to use it.