Hybrid vehicle comprising - an axle (FA, IA, RA), - an internal combustion engine with its own gear box, - at least one auxiliary motor, - a torque distributor comprising, • a first and a second transmission shaft parallel to each other, wherein each transmission shaft (2, 3) comprises two opposite ends ((21, 22), (31, 32)), • rotating connection means comprising at least two selectable gear ratios (23/33, 24/34), with a first gearwheel that is coaxial and rotatably associated with the first shaft and a second gearwheel that is fixed and coaxial with the second shaft, both gearwheels lying on the same rotation plane, so that they can mesh with each other in operating conditions and a third gearwheel that is coaxial and rotatably associated with the first shaft and fourth gearwheel that is fixed and coaxial with the second shaft, both gearwheels lying on the same rotation plane, so that they can mesh with each other in operating conditions; wherein a second end of said first transmission shaft is operatively connected/connectable with said axle (FA, IA, RA) for driving thereof, and one end (31, 32) of the second transmission shaft is operatively connected/connectable with said at least one auxiliary motor, and comprising - control means (PTCU) for controlling at least said torque distributor to switch from a combustion traction mode to an electric traction mode, comprising means for carrying out at least the following steps: • Acquisition of vehicle speed, • if the vehicle speed is non-zero (S4 YES), then Selection of the most appropriate gear ratio among said at least two gear ratios (pairs 23/33 or 24/34), Characterized in that the internal combustion engine is arranged longitudinally with respect to the vehicle development and having a gearbox with a respective output shaft operatively connected with said first end of said first shaft - an axle (FA, IA, RA), - an internal combustion engine with its own gear box, - at least one auxiliary motor, - a torque distributor comprising, • a first and a second transmission shaft parallel to each other, wherein each transmission shaft (2, 3) comprises two opposite ends ((21, 22), (31, 32)), • rotating connection means comprising at least two selectable gear ratios (23/33, 24/34), with a first gearwheel that is coaxial and rotatably associated with the first shaft and a second gearwheel that is fixed and coaxial with the second shaft, both gearwheels lying on the same rotation plane, so that they can mesh with each other in operating conditions and a third gearwheel that is coaxial and rotatably associated with the first shaft and fourth gearwheel that is fixed and coaxial with the second shaft, both gearwheels lying on the same rotation plane, so that they can mesh with each other in operating conditions; wherein a second end of said first transmission shaft is operatively connected/connectable with said axle (FA, IA, RA) for driving thereof, and one end (31, 32) of the second transmission shaft is operatively connected/connectable with said at least one auxiliary motor, and comprising • a first and a second transmission shaft parallel to each other, wherein each transmission shaft (2, 3) comprises two opposite ends ((21, 22), (31, 32)), • rotating connection means comprising at least two selectable gear ratios (23/33, 24/34), with a first gearwheel that is coaxial and rotatably associated with the first shaft and a second gearwheel that is fixed and coaxial with the second shaft, both gearwheels lying on the same rotation plane, so that they can mesh with each other in operating conditions and a third gearwheel that is coaxial and rotatably associated with the first shaft and fourth gearwheel that is fixed and coaxial with the second shaft, both gearwheels lying on the same rotation plane, so that they can mesh with each other in operating conditions; - control means (PTCU) for controlling at least said torque distributor to switch from a combustion traction mode to an electric traction mode, comprising means for carrying out at least the following steps: • Acquisition of vehicle speed, • if the vehicle speed is non-zero (S4 YES), then Selection of the most appropriate gear ratio among said at least two gear ratios (pairs 23/33 or 24/34), Characterized in that the internal combustion engine is arranged longitudinally with respect to the vehicle development and having a gearbox with a respective output shaft operatively connected with said first end of said first shaft • Acquisition of vehicle speed, • if the vehicle speed is non-zero (S4 YES), then Selection of the most appropriate gear ratio among said at least two gear ratios (pairs 23/33 or 24/34),