A control device for a hybrid vehicle includes a portion determining whether an engine torque is necessary, a portion controlling a motor to make a motor torque be a target torque, an engine rotation speed control portion controlling an engine output shaft to rotate at a target engine rotation speed for sudden start/reacceleration while the clutch being disengaged after starting the engine and before an actual rotation speed of the engine output shaft exceeds a reference target engine rotation speed in a case where the engine torque is necessary, a control portion engaging the clutch after the actual rotation speed exceeds the reference target engine rotation speed, and a portion controlling the engine so that the engine torque is assumed to be a target torque by canceling the control by the engine rotation speed control portion after the actual rotation speed exceeds the reference target engine rotation speed.