A coupling member (3) for the installation in a torque-transmitting drive connection comprises connecting parts (4, 5) for fastening to the driving and driven sides of the drive connection and an annular body (8) for torque transmission which is inserted between ring disks (6, 7) of the connecting parts (4, 5) and is made of an elastomer. In order to obtain a simple coupling member which can be influenced over wide areas concerning the transmission properties, the connecting parts (4, 5) are made of fibrous composite plastic and the elastomeric annular body (8) is molded onto the ring disks (6, 7) of the connecting parts.