Denver District Attorney Beth McCann said Bishop may face additional charges depending on the results of a blood-alcohol content analysis, which could take another week.
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.
In addition to the charges filed by the Denver DA, the Federal Bureau of Investigation could also suspend or fire him. During the flip, his gun falls out of his trousers and when Bishop picks it up, the gun fires.
Mr Bishop will be arraigned on a charge of second-degree assault.
"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", she said.
He is scheduled to appear in court on Wednesday for a hearing.
A video of the incident that was released to the public shows Bishop, in a navy shirt and khaki trousers, completing a series of body rolls and a backflip, as a crowd stands around him.
Attorney David Goddard asked that Bishop be allowed to travel because he lives and works in Washington, D.C. Prosecutors did not object.
Mile High Spirits, the Denver distillery where incident occurred, released a statement on Facebook. He then stands, inserts the handgun inside his waistband in the area of the small of his back, and walks into the crowd waving his hands. As for Agent Bishop, if it turns out he was intoxicated at the time of the accident he'll be fired.
Reddington told ABC News last week that he thought someone was setting off a firecracker before realizing he had been shot. I'm still thinking it's a firework ... all of a sudden from the knee down my leg became completely red.
'And that's when it clicked in my head, "Oh, I've been shot".