A mitral heart valve annuloplasty ring having a posterior bow that conforms to an abnormal posterior aspect of the mitral annulus. The ring may be generally oval having a major axis and a minor axis, wherein the posterior bow may be centered along the minor axis or offset in a posterior section. The ring may be substantially planar, or may include upward bows on either side of the posterior bow. The ring may include a ring body surrounded by a suture-permeable fabric sheath formed of a plurality of concentric ring elements or bands. The posterior bow is stiff enough to withstand deformation once implanted and subjected to normal physiologic stresses. A method of repairing an abnormal mitral heart valve annulus having a depressed posterior aspect includes providing a ring with a posterior bow and implanting the ring to support the annulus without unduly stressing the attachment sutures.