I haven't been able to identify an offline button in the apple music app yet. the only way i can figure out to make it play my downloaded music is to put the phone into airplane mode, thereby rendering it useless for anything else. if i don't put it in airplane mode, it will stream the music, even if it's been downloaded to the phone.. There's no cost to add or download content. learn more about apple music and how to join. if you don't subscribe to apple music but want to download content to your device, you can buy music from the itunes store app on your ios device or in itunes on a mac or pc. apple music features might vary by country and region.. More ways to shop: visit an apple store, call 1-800-my-apple, or find a reseller..