While iPhone does not use the SIM to store contact names and phone numbers, you can still copy your contacts from a SIM card to your iPhone. You can use your old phone's SIM card (if your old phone is not an iPhone) to transfer the primary phone number for each of your contacts from the SIM card. Ensure that the old SIM card you're going to place into the new iPhone is the same type of SIM card. Failure to do so may result in the SIM card becoming stuck in the new iPhone. Additional numbers may not import, or may import as more than one contact. Follow these steps to import the information off the SIM card:
1. Remove the SIM card from your iPhone and replace it with the SIM card from your old phone.
2. Your phone may need to reactivate. If so, connect to iTunes.
3. Tap Settings > Mail, Contacts, Calendars > Import SIM Contacts.
Remove your old SIM card from your new iPhone and reinstall the SIM card that came with it.