A hybrid drive device for a motor vehicle includes an internal combustion engine, an electric machine, and two planetary gear trains which are shiftable into different gear stages by shifting elements and which are connectable via input elements and output elements with a driven input shaft and an output shaft and have shiftable transmission elements that can be coupled or braked. The internal combustion engine is in driving relation to a first input shaft and the electric machine is in driving relation to a second coaxial input shaft. The two planetary gear trains are coupled to each other such that, when the shifting elements are activated, shifting of four forward gears can be implemented via the internal combustion engine and shifting of three forward gears or reverse gears can be implemented via the electric machine.