Hybrid transmission for a motor vehicle equipped with a thermal engine and an electric drive machine, comprising two concentric primary shafts (1, 6), including a solid primary shaft connected to the thermal engine which supports one intermediate drive on a first secondary shaft connected to the wheels of the vehicle via a differential, a hollow primary shaft connected to the electric machine which supports two intermediate drives (8, 9) on the first secondary shaft, and a second secondary shaft transmitting the movement of the solid primary shaft to the differential by a drive pinion, characterized in that it exhibits - a first means of coupling between the two primary shafts (1, 6) capable of occupying at least three positions, in which: • the thermal engine is decoupled from the kinematic chain connecting the electric machine to the wheels, or is coupled to the latter by means of the second secondary shaft (position 1), • the primary shaft connected to the thermal engine is coupled to the first secondary shaft in order to drive the wheels with or without the contribution made by the electric machine (position 2), and • the primary shaft connected to the thermal engine is coupled to the primary shaft connected to the electric machine, in such a way as to add together their respective torques in the direction of the wheels (position 3). - a second means of coupling making it possible to couple one or other of the two intermediate drives (8, 9) of the hollow primary shaft to idler pinions (12, 11) of the first secondary shaft, and - a third means of coupling permitting the solid primary shaft to be coupled to the second secondary shaft. - a first means of coupling between the two primary shafts (1, 6) capable of occupying at least three positions, in which: • the thermal engine is decoupled from the kinematic chain connecting the electric machine to the wheels, or is coupled to the latter by means of the second secondary shaft (position 1), • the primary shaft connected to the thermal engine is coupled to the first secondary shaft in order to drive the wheels with or without the contribution made by the electric machine (position 2), and • the primary shaft connected to the thermal engine is coupled to the primary shaft connected to the electric machine, in such a way as to add together their respective torques in the direction of the wheels (position 3). • the thermal engine is decoupled from the kinematic chain connecting the electric machine to the wheels, or is coupled to the latter by means of the second secondary shaft (position 1), • the primary shaft connected to the thermal engine is coupled to the first secondary shaft in order to drive the wheels with or without the contribution made by the electric machine (position 2), and • the primary shaft connected to the thermal engine is coupled to the primary shaft connected to the electric machine, in such a way as to add together their respective torques in the direction of the wheels (position 3). - a second means of coupling making it possible to couple one or other of the two intermediate drives (8, 9) of the hollow primary shaft to idler pinions (12, 11) of the first secondary shaft, and - a third means of coupling permitting the solid primary shaft to be coupled to the second secondary shaft.