An implant for use between two axially separated vertebrae has a body extending axially between the vertebrae and having longitudinally outwardly directed ends juxtaposed with the vertebrae and each formed with a radially outwardly projecting annular rounded ridge and with a radially outwardly open groove axially inward of the ridge. A respective end plate at each of ends bears axially outwardly directly on the respective vertebra and is formed with a radially inwardly open rotation-symmetrical recess receiving the respective end of the body. This recess is formed with an annular inwardly open groove having an inner surface on which rides the respective ridge with freedom for swiveling of each end plate on the respective end.
