The invention provides a torque control system of a hybrid electric vehicle and the vehicle. The torque control system comprises a torque request mechanism used for coordinating required torque of thevehicle according to vehicle states, and a torque distributing mechanism used for carrying out front-back axle torque distribution on the required torque of the vehicle according to a front-back axletorque distribution proportion and carrying out torque distribution on a BSG motor and an engine according to a torque request of the BSG motor and front axle distributed torque. The torque control system of the hybrid electric vehicle can carry out torque requesting and distributing according to requirements of a driver, can coordinate torque according to vehicle states, and thus has the advantages of low oil consumption, low emission and high economy.