Electric drive device for a motor vehicle, with at least one first electric machine having a stator and a rotor rotatable about a machine axis of rotation relative to the stator, with a gearbox, which can be driven by the first electric machine and which - has precisely two planetary stages (46, 72), i.e. a first planetary stage, which can be driven by the first electric machine, and a second planetary stage, which can be driven by the first electric machine, - and precisely two spur gear stages (48, 90), i.e. a first spur gear stage, which can be driven by the first electric machine and has a first spur gear and a second spur gear meshing with the first spur gear, and a second spur gear stage, and with at least one drive gear of the motor vehicle, which is rotatable about a wheel axis of rotation extending parallel to the machine axis of rotation and can be driven via the gearbox by the first electric machine, wherein an axle drive is provided, which can be driven via the gearbox by the first electric machine and via which the drive gear can be driven by the first electric machine, wherein - the first electric machine is at least partially located on a first side of the longitudinal central plane with regard to a longitudinal central plane defined by the vertical direction of the vehicle and the longitudinal direction of the vehicle, and - the first spur gear stage is located on a second side of the longitudinal central plane opposite the first side in the transverse direction of the vehicle, characterised in that - with regard to a torque flow from the first electric machine to the drive gear, the first planetary stage is located downstream of the first electric machine and upstream of the drive gear, the first spur gear stage is located downstream of the first planetary stage and upstream of the drive gear, the second planetary stage is located downstream of the first spur gear stage and upstream of the drive gear, and the second spur gear stage is located downstream of the second planetary stage and upstream of the drive gear, - a braking element is provided, by means of which a gearbox element of the first planetary stage or a gearbox element of the second planetary stage can be immobilised at a housing of the gearbox, wherein the braking element has a ring gear displaceable in the axial direction of the respective planetary stage relative to the housing. - has precisely two planetary stages (46, 72), i.e. a first planetary stage, which can be driven by the first electric machine, and a second planetary stage, which can be driven by the first electric machine, - and precisely two spur gear stages (48, 90), i.e. a first spur gear stage, which can be driven by the first electric machine and has a first spur gear and a second spur gear meshing with the first spur gear, and a second spur gear stage, and with at least one drive gear of the motor vehicle, which is rotatable about a wheel axis of rotation extending parallel to the machine axis of rotation and can be driven via the gearbox by the first electric machine, wherein an axle drive is provided, which can be driven via the gearbox by the first electric machine and via which the drive gear can be driven by the first electric machine, wherein - the first electric machine is at least partially located on a first side of the longitudinal central plane with regard to a longitudinal central plane defined by the vertical direction of the vehicle and the longitudinal direction of the vehicle, and - the first spur gear stage is located on a second side of the longitudinal central plane opposite the first side in the transverse direction of the vehicle, characterised in that - with regard to a torque flow from the first electric machine to the drive gear, the first planetary stage is located downstream of the first electric machine and upstream of the drive gear, the first spur gear stage is located downstream of the first planetary stage and upstream of the drive gear, the second planetary stage is located downstream of the first spur gear stage and upstream of the drive gear, and the second spur gear stage is located downstream of the second planetary stage and upstream of the drive gear, - a braking element is provided, by means of which a gearbox element of the first planetary stage or a gearbox element of the second planetary stage can be immobilised at a housing of the gearbox, wherein the braking element has a ring gear displaceable in the axial direction of the respective planetary stage relative to the housing.