Orme (rhymes with "storm") is located at (35.011361, -85.805175). The town occupies most of the Tennessee portion (i.e., the northern end) of Doran's Cove, a narrow valley surrounded on the north, east, and west by the Cumberland Plateau. Most of Orme's public buildings and residences are concentrated in a small stretch of bottomland along Dry Creek, the valley's primary drainage. The walls of the plateau rise nearly a thousand feet in all directions, the exception being a relatively narrow gap that opens to the south. South Pittsburg, Tennessee, lies across the plateau to the east, and Bridgeport, Alabama, lies to the southeast. Russell Cave National Monument lies just across the state line to the south.