Police had initially released Bishop to an Federal Bureau of Investigation supervisor while awaiting toxicology results before deciding whether to charge him.
Bishop turned himself in to the Denver Sheriff's Department on Tuesday morning after a warrant was issued for his arrest, according to Denver police.
Federal Bureau of Investigation officials have refused to release Bishop's name although he had been identified by other media outlets.
Additional charges could also be filed after an analysis of Bishop's blood alcohol content are finished, the DA said.
Police have said Bishop was dancing at the downtown bar on June 2 when the gun fell from his waistband holster onto the floor.
The FBI agent whose gun accidentally went off at a Colorado nightclub earlier this month is facing criminal charges. It showed a man-now suspected to be Bishop-dancing and doing a backflip late at night in a Denver bar called Mile High Spirits.
Authorities have not said what kind of gun the agent was carrying, or why it accidentally fired.
Multiple sources told 9Wants to Know that Bishop is not assigned to the Denver office and works out of Washington D.C.
"The FBI will continue to fully cooperate with the Denver Police Department and the Denver District Attorney's Office as this matter proceeds through the judicial process", Sanders said.
According to police officials, a man in the crowd was shot in the leg and taken to a hospital.
"I heard a loud bang and I thought some idiot set off a firecracker", Reddington said. "Then I looked down at my leg and see some brown residue. Then it clicked that I've been shot". "The whole team at Mile High Spirits is praying for the victim's quick recovery, and he's welcome at Mile High Spirits to enjoy complimentary drinks forever".