MD 303 begins at an intersection with MD 309 (Cordova Road) a short distance north of the village of Cordova in Talbot County. The state highway heads east as two-lane undivided Tappers Corner Road, passing under an abandoned railroad grade owned by the Maryland Department of Transportation and crossing a pair of branches of Tuckahoe Creek.
MD 303 begins at a crossroads with MD 309 (Cordova Road) in Talbot County. The highway then proceeds east along Tappers Corner Road, passing beneath an abandoned railroad track and crossing the banks of Tuckahoe Creek.