An electric drive axle of a vehicle with a parking lock and with at least one electric drive with a drive gear of a drive shaft. The drive gear is coupled via at least one intermediate gear of an intermediate shaft to an output gear of a differential gear unit for driving at least one output shaft. For decoupling the electric drive, at least one claw shift element is associated with the drive shaft and/or with the intermediate shaft in such a way that the claw shift element is arranged upstream of the parking lock in power flow direction from electric drive to differential gear unit.