A torque transmission device for a vehicle includes a torque input element coupled to a crankshaft of a combustion engine, a first torque output element coupled to a first input shaft of a gearbox, a rotating electric machine including a stator and a rotor arranged in the direction of the transmission of torque, between the input element and the first output element, a rotor support radially supporting the rotor of the rotating electric machine, the rotor support selectively connected to the input element by an input clutch, a fixed distributor fastened to the gearbox and supporting the rotor support, a fixed wall including a first radial end fastened to the gearbox, and a second radial end connected to the torque input element, a first rolling member arranged between the rotor support and the fixed distributor, and a second rolling member arranged between the rotor support and the fixed wall.