0.2. The highest average temperature in Laramie is July at 65.9 degrees. The coldest average temperature in Laramie is December at 19.6 degrees. The most monthly precipitation in Laramie occurs in June with 1.7 inches.The Laramie weather information is based on the average of the previous 3-7 years of data.Loading...he most monthly precipitation in Laramie occurs in June with 1.7 inches. The Laramie weather information is based on the average of the previous 3-7 years of data.