An operating device (42) for a robot-assisted surgery system (10) comprising a manually actuatable operating element (124) as well as an interface (100) for attaching the operating device (42) to a holding unit (50). When attached to the holding unit (50), the operating element (124) is rotatable relative to the interface (100) about three axes of rotation (106, 114, 126) running orthogonally to each other, these three axes of rotation (106, 114, 126) intersecting in a common point of intersection (150).