Total wrist prosthesis comprising a radial component with a stem for fixation into the radius, a carpal component with one or more stems for fixation into the capitate and an intermediate bearing component which articulates with the radial component and allows rotational movement of the carpal component relative to the radial component plus hinged movement in two transverse planes. The radial component body may have a concave or convex surface to articulate with a matching surface on the intermediate bearing component. The carpal body may have a projection which is received in a recess in a base surface of the intermediate bearing component, and which has a pair of lugs that are received in an annular groove in the recess for an axially secure connection that allows small relative rotational movement as permitted by tendons and ligaments of the wrist.