A dual valve prosthesis having first and second prosthetic valve components with a linkage that connects the first and second prosthetic valve components together is disclosed. Each of the first and second prosthetic valve components includes a stent structure with a prosthetic valve secured therein. In a disclosed method, the first and second prosthetic valve components include prosthetic mitral and aortic valves, respectively, and the dual heart valve prosthesis is configured to replace both the native mitral and aortic valves of the heart in a single transcatheter heart valve implantation procedure. The linkage between the first and second prosthetic valve components is configured to secure the anterior mitral valve leaflet against a wall of the left ventricle when the dual valve prosthesis is implanted within the heart.
