The bride's father, 19-year-old brother and a FEMA coordinator were also arrested Sunday at the hotel, a command center for emergency workers after Hurricane Ike went through Galveston Island on Sept. 13.
Police spokesman Capt. Walter Braun said an internal affairs investigation has been launched.
The 30-year-old Backe, a member of the wedding party, ignored police orders to back away from the fight, and struggled with officers who attempted to handcuff him, according to police reports.
One officer said he hit Backe twice in the face before handcuffing him. Both the officer and Backe sustained minor injuries during the fight, according to the police report.
"We are aware of an incident involving Brandon. We have spoken with him regarding his version of the event. Since this is a legal matter, any further comment on our part would be inappropriate," Astros spokesman Jimmy Stanton said in a statement.
Backe was charged with interfering with a police officer and resisting arrest, said Joel H. Bennett, Galveston County assistant criminal district attorney. Both charges are misdemeanors. He was released on $1,500 bond.
Backe, a Galveston native, joined the Astros in 2004 after two seasons with Tampa Bay.