A hybrid powertrain for a motor vehicle has an internal combustion engine and an electric machine that is connected to power electronics and to an electric energy storage device. The internal combustion engine is coupled to an internal combustion engine driveshaft and the rotor of the electric machine is coupled to an electric machine driveshaft that is connected to a planetary gear set with a sun gear, a planet carrier, and a ring gear, one element of which functions as an input element and another as an output element. The rotor of the electric machine can be selectively connected either to the input element or to the output element of the planetary gear set by way of a shiftable clutch).