A hybrid vehicle drive control system is configured to start an engine irrespective of a motor rotational speed or a driving scene. In the hybrid vehicle drive control system, upon receiving an engine startup request, the engine is started by engaging a first clutch provided between the engine and a motor using the torque of the motor. A second clutch is provided between the motor and the drive wheel. The second clutch is disengaged by a second clutch control operation to reduce the motor rotation speed as a result of the motor rotational speed control by a motor rotation speed-controlling operation. The control system may thus increase the maximum motor output enable torque to ensure the start of the engine by the surplus torque irrespective of a motor rotational speed or driving scene.