The United States Customs House and Court House, also known as Old Galveston Customhouse, in Galveston, Texas, is a former home of custom house, post office, and court facilities for the United States District Court for the Eastern District of Texas, and later for the United States District Court for the Southern District of Texas. Completed in 1861, the structure is now leased by the General Services Administration to the Galveston Historical Foundation. The courthouse function was replaced in 1937 by the Galveston United States Post Office and Courthouse.