Abstract: A hydraulic torque vectoring differential includes two epicyclic gear sets and two variable displacement hydrostatic units. Each hydrostatic unit is coupled to a reaction member of one of each of the epicyclic gear sets, each of which also has a first gear element coupled to an input drive shaft for power input from a prime mover of said vehicle and a third gear element coupled to an output shaft operatively driving the wheels of the vehicle. The hydrostatic units are hydraulically coupled so that hydraulic fluid pressurized in one hydrostatic unit drives the other hydrostatic unit, and fluid pressurized in the other hydrostatic unit drives the one hydrostatic unit. A control system controls the displacement of the variable displacement hydrostatic units.