A connecting device of joint prosthesis includes a stem means provided for being inserted into a medullary cavity of a bone, a receiving means provided for receiving a bone structure near the bone, an offset connecting means connected between the stem means and the receiving means, and an inserting member. The offset connecting means includes a first connecting component and a second connecting component. The inserting member inserts into an inserting bore of the first connecting component and an inserting recess of the second connecting component to make the first connecting component being fixed and positioned at the second connecting component, wherein there is an offset distance between the longitudinal central axis of the first connecting component and the longitudinal central axis of the second connecting component. Thereby the connecting device of joint prosthesis is adjustable for fitting individual patients with more effect in regard of the musculoskeletal mechanics.