A control device of the invention is applied for a hybrid vehicle comprising an internal combustion engine, a motor and a rotational position detector to detect a rotational position of a rotary shaft of the motor. The control device performs a procedure for obtaining an offset amount according to a request for obtaining the offset amount, which offset amount is a difference between a detected rotational position of the rotary shaft with the rotational position detector and an actual rotational position of the rotary shaft. The control device is configured to perform the procedure for obtaining the offset amount while the engine is running, when the vehicle stops and the control device determines that there is the request for obtaining the offset amount.