Mountain top in the south, At 6,643 feet, Clingmans Dome is the highest point in the Great Smoky Mountains National Park. It is the highest point in Tennessee, and the third highest mountain east of the Mississippi. Only Mt. Mitchell (6,684 feet) and Mt. Craig (6,647), both located in Mt. Mitchell State Park in western North Carolina, rise higher. The observation tower on the summit of Clingmans D.