A drive system of an electric vehicle includes: an internal combustion engine; a generating motor provided so as to be able to generate electricity by receiving motive force from the internal combustion engine; and a travel motor provided so as to be able to be driven by electric power generated by the generating motor, and the drive system is configured so as to be able to switch a series hybrid mode and an engine direct connected mode, the series hybrid mode being a mode in which, while the internal combustion engine and the drive wheel are linked via a first clutch so as to be unlinkable/linkable, the travel motor and the drive wheel are linked via a second clutch different from the first clutch so as to be unlinkable/linkable, and the travel motor is used as a drive power source such that the electric vehicle travels by transmitting motive force from the travel motor to the drive wheel, the engine direct connected mode being a mode in which at least one of the internal combustion engine and the generator is used as a drive power source such that the electric vehicle travels by transmitting motive force from the drive power source to the drive wheel. At a mode switching time from the engine direct connected mode to the series hybrid mode involving deceleration, when the rotation synchronization or the engagement of the second clutch on an engagement side is not completed before the vehicle speed is decelerated to a predetermined vehicle speed, the first clutch on a disengagement side is disengaged before the engagement of the second clutch is completed.