Changing iPhone Voicemail Greeting From the Home screen, tap the Phone icon Tap Voicemail, then tap Greeting (upper-left). Choose between Default and Custom. (The currently enabled option has a checkmark next to it) Default: Pre-recorded message saying you have reached the voicemail for your number. Custom: The ability to set your own message, including your name. To do this: Tap Record to begin recording the custom greeting message. Tap Stop to end recording, then Play to listen to it Once you have decided which greeting you would like to use, tap Save (upper-right).