The present invention provides a conveying method and a conveying device for conveying a curving rubber member supplied by a supply device in a state of curve keeping to a device to be supplied. In the conveying method of the rubber member for receiving the rubber member which is supplied from a supply device and is curved, and transferring the received rubber member to a supply receiving device in a curved state, the method includes a step of winding the rubber member from a leading end portion onto a mounting surface of a rotary table by forwardly rotating the rotary table and receiving the rubber member from the supply device in a state in which a rear end portion of the rubber member is not in contact with the mounting surface, a step of moving the rotary table from a receiving position to a transferring position, and a step of winding back the rubber member from the rear end portion so as to transfer the rubber member to the supply receiving device by reversely rotating the rotary table.