An electric vehicle drive control device includes a first electric motor and a second electric motor; a differential device that includes first, second and third rotational elements, wherein the first rotational element is connected with the first electric motor, the second rotational element is connected with the second electric motor, and the third rotational elements is connected with the engine; a transmission that is connected with the second electric motor via a transmission shaft, and that shifts a speed of a rotation transferred from the transmission shaft; and a controller that: judges whether an engine start request for starting the engine is generated and whether a downshift request is generated; and starts, if the engine start request and the downshift request are generated, one of an engine start control and a downshift control when the other of the engine start control and the downshift control is executed.