A hydraulic traction system for vehicles is described. The system comprises a hydraulic vane motor mounted at each wheel of the vehicle, and equal number of identical hydraulic vane motors operated as engine driven pumps, and a control system for regulating the flow and direction of hydraulic oil during operation. The hydraulic motor is of a novel design that has a hollow non-drive shaft that accepts incoming hydraulic oil, this allows internal components of the hydraulic motor to be arranged in such a way to improve the efficiency of the hydraulic traction system.