My phone number did not transfer to my new i-phone

After inserting the old SIM card into your new device, it might take some time until the card is recognized by your carrier and the message with your number will be sent back to your device.

Also check if any carrier updates are available:

iOS: Updating your carrier settings

What carrier do you have?

Did you call them? Verizon is a CDMA carrier and they do not use SIM cards in the way AT&T and T-Mobile do. In other words it is my understanding that merely transferring a SIM will not work for you (I could be wrong)

Also speaking about Verizon - where did you buy your phone? From the Apple store? From Verizon?

Thanks

Definitely contact Verizon ASAP. They should be able to fix this your you fairly quickly.

What the gentleman said

You do have to call them and they will transfer the number

Please let us know if that helps and how you like your new device