The invention relates to the technical field of hybrid electric vehicles, in particular to a hybrid electric drive assembly and a vehicle with the same. The hybrid electric drive assembly comprises an engine and a hybrid electric gearbox. The hybrid electric gearbox comprises an input shaft assembly, a transmission shaft assembly, a reduction gear assembly and a differential assembly. The input shaft assembly comprises a first motor, a second motor, a coupling clutch and a first connection gear. The transmission shaft assembly comprises two transmission mechanisms including a second connection gear and a planetary gear. The reduction gear assembly comprises a first reduction gear and a second reduction gear. By means of the hybrid electric drive assembly, the vehicle can obtain the optimal electric combination in various operation states; compared with a hybrid electric device provided with a traditional gearbox, the structure is compact, and machinery arrangement is facilitated; and compared with a hybrid electric assembly provided with a reduction mechanism, the requirements for power and torque of a drive motor are reduced, the drive motor and an engine are made to more possibly operate in a high-efficiency area, and the transmission efficiency is improved.