June in Fort Stockton is the windiest and the hottest month of the year. In June, the weather in Fort Stockton is typically hot. Average daily high temperature in June is about 34 degrees above zero. On average, Fort Stockton has 27 sunny, 2 partly cloudy, and 1 rainy day in June. June as well as July, August, and September is considered the most uncomfortable time to visit Fort Stockton.