A locking differential includes a housing with an interior chamber in which a two-piece split-center driver is located. The split-center driver is positioned on opposite sides of a cross-pin assembly. A pair of axially spaced output shafts extend from the interior chamber and are coupled to a pair of side gears. The split-center driver gear and a centered cam member are arranged co-axially about the adjacent ends of the output shafts, and annular clutch members are operable to disconnect an overrunning output shaft.