An electric vehicle drive apparatus includes a first motor, a second motor, a speed change mechanism coupled to the first motor and the second motor, and a controller controlling operation of the first motor and the second motor. The speed change mechanism includes a first planetary gear mechanism, a second planetary gear mechanism, and a one-way clutch that limits a rotation direction of a first carrier of the first planetary gear mechanism to a certain forward rotation direction. When rotating the first motor in a backward rotation direction opposite to the certain forward rotation direction and rotating the second motor in the forward rotation direction, the controller determines rotation speeds of the first motor and the second motor within a range indicated by Expression (1).