 Galveston is the seat and second @-@ largest city ( after League City , Texas ) of Galveston County in population . The Galveston County Justice Center , which houses all the county 's judicial functions as well as jail , is located on 59th street . The Galveston County Administrative Courthouse , the seat of civil and administrative functions , is located near the city 's downtown . Galveston is within the County Precinct 1 ; as of 2008 Patrick Doyle serves as the Commissioner of Precinct 1 . The Galveston County Sheriff 's Office operates its law enforcement headquarters and jail from the Justice Center . The Galveston County Department of Parks and Senior Services operates the Galveston Community Center . Galveston is located in District 23 of the Texas House of Representatives . As of 2008 , Craig <unk> represents the district . Most of Galveston is within District 17 of the Texas Senate ; as of 2008 Joan <unk> represents the district . A portion of Galveston is within District 11 of the Texas Senate ; as of 2008 Mike Jackson represents the district . Galveston is in Texas 's 14th congressional district and is represented by Republican Randy Weber as of 2012 . 
