There are 5 US Post Offices in Uinta County serving a total of 6,525 residents equating to 1,305 residents per post office. It's estimated that approximately 10,415 packages are handled across the 5 county post offices annually. Uinta County /ju\u02d0\u02c8\u026ant\u0259/ is a county located in the U.S. state of Wyoming. As of the 2010 census, the population was 21,118. Its county seat is Evanston. It is northeast from the Utah state line. Uinta County comprises the Evanston, WY Micropolitan Statistical Area."