Abstract: An overrunning multiple-row sprag clutch is provided comprising an annular outer race, an inner race positioned concentrically within the outer race to define an annular space therebetween, and two or more discrete annular sprag rows, each having a plurality of discrete sprags, positioned longitudinally adjacent to one another in the annular space. The outer race has a longitudinally varying radial stiffness such that when a torque is applied to the clutch, portions of the outer race radially adjacent to each sprag row are deflected radially outward to compensate for the tiling of the sprags in the sprag row caused by torsional wind up of the inner race, thereby evenly distributing the total torque load between the sprag rows. The variable radial stiffness of the outer race may be provided by an outer race having a tapered outer diameter.