Ouray ( YOOR-ay) is a home rule municipality that is the county seat of Ouray County, Colorado, United States. The city population was 898 as of the 2020 census. The Ouray Post Office has the ZIP Code 81427. Located at an elevation of 7,792 feet (2,375 m), Ouray's climate, natural alpine environment, and scenery have earned it the nickname "Switzerland of America".