An annuloplasty device comprising first and second support rings having a coiled configuration in which the first and second support rings are arranged as a coil around a central axis, the central axis extending in an axial direction from the second support ring to the first support ring, wherein the first and second support rings are configured to be arranged on opposite sides of native heart valve leaflets of a heart valve, wherein the first support ring is adapted to be arranged on an atrial side of said heart valve, and the second support ring is adapted to be arranged on a ventricular side of the heart valve, wherein the first support ring comprises a first posterior bow and a first anterior portion, the second support ring comprises a second posterior bow and a second anterior portion, the first and second posterior bows are adapted to conform to a posterior aspect of said heart valve, and the first and second anterior portions are adapted to conform to an anterior aspect of said heart valve, wherein the first support ring transitions to the second support ring over a transition section, wherein the transition section is adapted to be arranged at a commissure (302, 302') of the heart valve leaflets, wherein the first posterior bow of the first support ring and the second posterior bow of the second support ring extend in respective first and second coil planes (101', 102') being essentially perpendicular to the central axis, and wherein the transition section bends at least partly along the central axis so that the first coil plane is separated a distance (d 1) from the second coil plane along the central axis at the transition section, characterized in that a tilted section of the first anterior portion raises above the first posterior bow in the axial direction. first and second support rings having a coiled configuration in which the first and second support rings are arranged as a coil around a central axis, the central axis extending in an axial direction from the second support ring to the first support ring, wherein the first and second support rings are configured to be arranged on opposite sides of native heart valve leaflets of a heart valve, wherein the first support ring is adapted to be arranged on an atrial side of said heart valve, and the second support ring is adapted to be arranged on a ventricular side of the heart valve, wherein the first support ring comprises a first posterior bow and a first anterior portion, the second support ring comprises a second posterior bow and a second anterior portion, the first and second posterior bows are adapted to conform to a posterior aspect of said heart valve, and the first and second anterior portions are adapted to conform to an anterior aspect of said heart valve, wherein the first support ring transitions to the second support ring over a transition section, wherein the transition section is adapted to be arranged at a commissure (302, 302') of the heart valve leaflets, wherein the first posterior bow of the first support ring and the second posterior bow of the second support ring extend in respective first and second coil planes (101', 102') being essentially perpendicular to the central axis, and wherein the transition section bends at least partly along the central axis so that the first coil plane is separated a distance (d 1) from the second coil plane along the central axis at the transition section, characterized in that a tilted section of the first anterior portion raises above the first posterior bow in the axial direction.