Hungry Horse is a census-designated place in Flathead County, Montana, United States. The population was 934 at the 2000 census. U. S. Postal ZIP code for Hungry Horse is 59919. The population was 911 at the 2000 census for the ZIP code area. Hungry Horse apartments for rent comparison page shows most up to date rent information on Hungry Horse apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.