As long as you are legally allowed to open or hide a gun in your state, you can take it with you to a bank. In Texas, people who have been dishonorably discharged from the military or who have been convicted of a felony, domestic violence, or drug use are not allowed to carry a gun in a bank or anywhere else. Some people are under the impression that because some banks say “federal in their name, they are FDIC insured, or because they are in the business of dealing with U.S. currency, there are additional rules when dealing with license to carry (“LTC) holders” in these locations.
However, there are no special laws regarding bank entry in Texas. Therefore, you should treat banks the same way you would treat any other privately owned premises. Can you take a concealed gun to a bank in Texas? Can I hide my luggage in a Texas bank? — Quora. Yes, you can carry your gun in a bank, if you have a license to carry, unless, of course, they have placed the correct signage required by Texas Penal Code (TPC) 30.06 or placed the concealed bearer on notice with verbal notice.
Bank tellers have the same concealed carry rights as everyone else: If the state or business prohibits a firearm on property, cashiers must also follow the rules. Texas law generally states that it is a defense to prosecution under these location restriction laws that a person carries a handgun in a restricted premises or property, but has immediately left the premises or property after personally receiving notice that carrying a firearm. While there's nothing funny about firearms, I often open luggage at my bank while wearing a mask and taking money from the cashier. Some people have the impression that because some banks say “federal” in their name, they are FDIC insured, or because they are in the business of trading in the United States.
Like any other private establishment, banks can exclude LTC holders from carrying handguns on their property by providing effective illegal entry notice.