Abstract: A constant velocity joint (2) with a connecting shaft (4). The inner part (12) of the constant velocity joint (2) includes a through-bore (28) with a first portion in the form of inner teeth (29) and a second bore portion in the form of a circular-cylindrical bore portion (32). A coupling sleeve is inserted into the inner part (12). The coupling sleeve (33) includes outer teeth (34) which engage the inner teeth (29). These are followed by a circular-cylindrical portion (35) centered in the bore portion (32). The coupling sleeve (33), on its inner face, has first longitudinal grooves (37) arranged opposite second longitudinal grooves (39) of the connecting shaft (4). Rolling-contact members (40) are received between the first and second longitudinal grooves and are held so as to be guided in a cage. Members (40) serve to transmit torque between the coupling sleeve (33) and the connecting shaft (4) and enable a linear adjustment between the coupling sleeve (33) and the connecting shaft (4).