An annuloplasty ring having a three-dimensional discontinuous form generally arranged about an axis with two free ends that are axially offset. The ring is particularly suited for repair of the tricuspid valve, and more closely conforms to the annulus shape. The ring is more flexible in bending about radially extending axes than about the central axis. The ring may have an inner structural support covered by a pliable sleeve and/or a fabric tube. The structural support may have a varying cross-section, such as a C-shaped cross-section in a mid-section between two free ends and a rectangular cross-section at the free ends.