There are 9 US Post Offices in Barnes County serving a total of 10,805 residents equating to 1,201 residents per post office. It's estimated that approximately 17,246 packages are handled across the 9 county post offices annually. Barnes County is a county located in the U.S. state of North Dakota. As of the 2010 census, the population was 11,066. Its county seat is Valley City. The Dakota Territory's legislature authorized a Burbank County (named for governor John A. Burbank) in 1872. But in 1874 they renamed it Barnes County in honor of Judge Alanson H. Barnes (1818\u20131890) who was an associate justice of the Territorial Court. It was finally organized in a meeting at Valley City on January 6, 1879."