A control apparatus for an electric vehicle that includes (i) an electric motor, (ii) a high-low switching device configured to establish a high gear position or a low gear position, (iii) a center differential configured to transmit rotation outputted from the high-low switching device, to the front and rear wheels, while allowing differential rotation between the front and rear wheels, and (iv) a high-low selection device configured to select the high gear position or low gear position that is to be established in the high-low switching device. The control apparatus includes a creep control portion configured to execute a creep control for generating a creep torque during stop of the vehicle. The creep control portion executes a creep cut for stopping the creep control under a predetermined constant condition, and stops the execution of the creep cut when the low gear position is selected during execution of the creep cut.