A drive system for a tracked vehicle having an internal combustion engine with a crankshaft aligned transversely to a direction of travel includes a steering drive; a differential transmission having traction drive elements, steering drive elements, and a pair of drive outputs for a drive axle aligned parallel to the crankshaft; and a steering drive connection connecting the steering drive to the steering drive elements. A further drive element, which may be a change speed gearbox or an electric traction motor, is arranged in line with the internal combustion engine and transmits power to the traction drive elements.