The invention discloses a hybrid electric vehicle drive and transmission system based on a non-symmetric style planet bevel gear structure. The hybrid electric vehicle drive and transmission system based on the non-symmetric style planet bevel gear structure comprises an engine, a first motor, a second motor, the non-symmetric style planet bevel gear structure, a power storage battery, a hybrid electric vehicle power control unit, a first inverter, a second inverter and a brake, wherein the first motor inputs power from a small bevel gear shaft and outputs power to the small bevel gear shaft, the second motor inputs power from a big bevel gear shaft and outputs power to the big bevel gear shaft, the non-symmetric style planet bevel gear structure is used for dynamic coupling of the engine and the two motors, the power storage battery provides electric energy for the two motors and receives electric energy from the two motors, and the hybrid electric vehicle power control unit is used for controlling running of the two motors and the engine. The hybrid electric vehicle drive and transmission system based on the non-symmetric style planet bevel gear structure has the advantages that the problem of double-power input and single-power output of a hybrid electric vehicle is solved, functions such as engine idling start-stop, regenerative braking and engine working point adjusting of a deeply hybrid electric vehicle are achieved, and fuel economical efficiency of the vehicle is improved.