Yes, you can bring your US plated-vehicle into Mexico but there are some important rules to know ...
For importation you will need:
Registration & Nationalization
Tourists & Temporary Residents. As a tourist or temporary resident you can bring your US plated car into Mexico without obtaining Mexican license plates. In this case, with a TIP (Temporary Import Permit) the car will have permission in the country for as long as your visa.
Registration Payment - Pay for TIP registration at Banjercito online or in person using an international credit card. You will be provided with a special sticker which allows the car to be legally driven in Mexico.
Be sure to have the following documents in original and copy:
Nationalizing Your Vehicle. If you are entering Mexico as a Permanent Resident, you may not bring a foreign plated car into Mexico on a TIP. Instead, you must nationalize the car. Nationalizing the vehicle gives you permission to keep it in the country indefinitely.
Only vehicles manufactured in North America (Mexico, US or Canada) can be nationalized in Mexico