An electric axle drive (1) for a motor vehicle has an electric machine (2) for driving at least one output shaft (15, 16) of the axle (13) of the motor vehicle and has a spur gear unit (5) with two spur gear stages (6, 7). The electric machine (2) can drive the spur gear stages (6, 7), which, in turn, can drive a planetary gear unit (14). The planetary gear unit (14) can be shifted between two gears. In the first gear, a transmission ratio is shifted in the planetary gear unit (14), and, in the second gear, the planetary gear unit (14) is shifted as a block.