According to the police report obtained by ESPN.com, Bush was detained and later released following an incident at Evelyn's Big Italian Restaurant in the downtown area of Vacaville.
The report said there was a fight outside the restaurant and, when officers arrived, they found a large gathering of people outside and asked those gathered to leave. However, officers said Bush "refused to leave and continued to create a disturbance, and as a result was taken into custody and charged with public intoxication."
The report said Bush was cooperative with officer after being detained.
The 30-year-old Bush was booked into Solano County Jail at 3:21 a.m., according to the jail log.
Bush, a Vacaville resident, is the second Packers player to be arrested this offseason. Last month, defensive tackle Letroy Guion was charged with felony possession of marijuana and a firearm in Starke, Florida.
Both players are scheduled to become free agents on March 10.
Bush has been with the Packers since 2006, mostly as a backup but he has been one of their core special-teams players. He was voted a special-teams playoff captain by his teammates each of the past four seasons.