Find the movie or TV show you want to watch and tap the “Download” button to the right of it. Downloaded videos will appear in the “Downloads” section of the app later, so you can open the app and watch them–even without an Internet connection. Just download the app and sign in with your Amazon account. The Amazon Video app available for iPhones and iPads, Android devices, and Amazon’s own Kindle Fires allows you to download videos to your device so you can watch them offline.