A hybrid drive arrangement for a motor vehicle including an internal combustion engine (1), which is connected or can be connected in a wheel-driving manner, via a first torque transmission path (11, 13), to a driving wheel (15) of the motor vehicle. An electric machine (19), which is operable at least as a motor, is fed from an electrical energy source (7, 29) of the motor vehicle and is connected or can be connected in a wheel-driving manner, via a second torque transmission path (21, 23, 13), to the driving wheel (15). Arranged in the first and/or the second torque transmission path are coupling elements (11, 23) which, in a first operating state, permit the driving of the motor vehicle by the wheel-driving torque of the electric machine (19), operated as a motor, without mechanical torque support from the internal combustion engine (1), and which, in a second operating state, permit the driving of the motor vehicle by the internal combustion engine (1), without mechanical torque support from the electric machine (19). Depending on the driving speed of the motor vehicle, an electronic driving control system (31) activates the first operating state, at least in a first range of driving speeds including standstill of the vehicle, if the driving speed is less than a predetermined speed limit, and activates the second operating state, at least in a second range including the maximum speed of the vehicle, if the driving speed is greater.