Step 1. Launch the Amazon Music app on your iPhone and tap Library at the bottom of the screen. Download Purchased Music from Amazon to iPhone Now follow the steps below to download songs from Amazon Music to iPhone. There are three methods for you to download Amazon Music to iPhone. Once you have purchased tracks or albums from Amazon, then you can download music tracks you’ve purchased on your devices. Amazon Music not only serves as a streaming music platform but also allows you to buy various MP3 tracks. If you want to download Amazon Music on your iPhone, you need to subscribe to Amazon Music Unlimited. Since last December, Amazon Music Prime members are not allowed to download music for offline listening. How to Download Songs from Amazon Music to iPhone