Step 1 Install and launch MobiTrans Transfer on your computer
Like the demo shown below, the primary window will pop-up after you install it correctly.
Step 2 Connect both iPhones to the computer via USB
Connect both of your iPhones to the same computer using original USB cables. The transfer will detect their models and display in the panel once they're well connected.
The box "Clear data before copy" down below, check it if you want to remove all the SMS previously savd on the new iPhone and only restore the SMS from the old iPhone. Keep it unchecked by default assuming you have no intention to erase any data.
Note: By clicking "Flip", you can change the direction of the two iPhones. It will make the data copy from new one to old one.
Step 3 Transfer SMS from iPhone to iPhone
You can also transfer SMS, videos, contacts, photos and music from one iPhone to another. But since all you need to sync is SMS, you need to uncheck the boxes of contacts, music and photos.
When it's done, click "Start Copy". MobiTrans Transfer will start to copy all SMS from one iPhone to another. All you need to care is to keep both of the iPhones are connected well.
Within a few steps above, you can transfer SMS from old iPhone to new iPhone. With MobiTrans Transfer you can transfer your photos and music as well. Download this powerful MobiTrans Transfer tool below.