The invention relates to a hybrid drive assembly (1, 16) for a motor vehicle. The hybrid drive assembly comprises a rotor (3), a stator (4), housings (5, 17), and a shaft, wherein the rotor (3), the stator (4) and the shaft are concentrically arranged, the housing (5, 17) comprise casing regions (7, 19) and side walls (8, 22) and a shaft holder (9), the shaft has penetrated or can penetrate through the shaft holder (9), the housing (5, 17) at least comprises coolant lines (10, 20) for cooling the stator (4). The high assemble cost of the hybrid drive assembly (1,16) is prevented by the following ways: the housings (5, 17) comprise the shaft and rotor brackets (11,23), wherein the shaft and the rotor brackets (11,23) form the shaft holder (9), and the rotor (3) can be operably supported on the outer sides of the shaft and the rotor brackets (11,23).