Disclosed herein are annular prosthetic devices, such as annuloplasty rings, that include suture clips integrated into or mounted within an annular frame. The clips can quickly secure to sutures to obviate the need to tied knots in the sutures during implantation. Embodiments comprise an annular frame having an open central region and a plurality of suture clips spaced angularly apart around the frame. Each of the suture clips can comprise two opposing tabs that extend toward each other such that the suture clip forms a gripping region between ends of the tabs and the gripping region is configured to grip a suture inserted through the suture clip between the two tabs. The annular frame and the plurality of suture clips can be formed from a single piece of flat material with the suture clip tabs being formed by laser cutting the piece of flat material, or the suture clips can be movable along a track formed in the annular frame.