It happened around 10:50am Saturday at the Regions Bank in the 6400 block of the Gulf Freeway at F.M. 1764 in La Marque.
Police said a man went through the drive-through and placed something that looked like a bomb in the transfer tube.
According to authorities, he demanded the teller send him as much money as possible in 15 minutes or the "bomb" would detonate.
Officials said after receiving the money, the suspect drove away.
Authorities, who received a description of the vehicle and a license plate number, stopped an SUV in the 5000 block of the Gulf Freeway southbound and noticed a large amount of money in the passenger seat.
Traffic on the Gulf Freeway southbound was shut down in the 3400 block until police determined the suspect's vehicle did not contain any explosives.
The bomb squad was notified and eventually determined the device used at the bank was no threat. The suspect was identified as 57-year-old Horacio Hernandez. He was charged with aggravated robbery. Bond was set at $100,000.
The Associated Press contributed to this report.