According to TX DPS, you need both front and rear license plates. However, the front one is not necessarily to be mounted on the bumper. You can have it in windshield as long as it's visible from front of your car.
http://www.txdps.state.tx.us/vi/Misc/faq/faq_item.htm
How many license plates am I required to display?
State law requires that you display two (2) license plates, one to the front and one to the rear. Placement or mounting of license plates is not defined.