WYO 337 serves the Sheridan VA Medical Center, which is located at the site of the former Fort Mackenzie.

From its western terminus, WYO 337 heads southeast for about 0.7 miles (1.1 km) before turning easterly.

After continuing easterly for approximately one-half mile (0.80 km) and connecting with the southern end of Industrial Road along the way, WYO 337 enters the city limits of Sheridan.

Very shortly after entering the city, WYO 337 connect with the north end of Dana Avenue (Sheridan County Road 80) and then crosses over Big Goose Creek.

(From WYO 337's eastern terminus I-90 BL/US 14/US 87 heads north toward an interchange with Interstate 90 and Wyoming Highway 338, and then on to Ranchester and Billings, Montana.