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 commences at a junction with MD 309 (Cordova Road) near the village of Cordova in Talbot County. The state highway proceeds east along two-lane undivided Tappers Corner Road, passing beneath an abandoned railroad grade owned by the Maryland Department of Transportation and crossing the banks of Tuckahoe Creek.