Premont is a city in Jim Wells County, Texas, United States. The population was 2,772 at the 2000 census. A July 1, 2008 U.S. Census Bureau estimate placed the population at 2,789.GeographyPremont is located at . It is situated at along U.S. Highway 281 in south central Jim Wells County, approximately 26mi south of Alice.According to the United States Census Bureau, the city has a total area of 1.7sqmi, all of it land.Premont is located on U.S. Highway 281, between Alice and Falfurrias, two towns that Morgan Smith of the Texas Tribune refers to as "relative hubs."