The invention relates to a heart implant, particularly being configured to reduce or eliminate a heart valve insufficiency after implantation into the heart, comprising a closure element being positionable within the heart valve annulus, particularly being configured to close or at least to reduce a remaining gap between closing valve leaflets, the closure element comprising a tubular attachment element (1) and a sheath (2) at least partially surrounding the tubular attachment element, the sheath being formed of a hose having two opposite end areas, particularly two opposite tapered neck forming end areas, the sheath being attached to the tubular attachment element in the respective end areas to provide an inflatable lumen between the sheath and the attachment element and an anchoring element (C) being attached to the closure element, particularly to the tubular attachment element of it, for fixing the implant in the heart, preferably for non-invasive fixing by surface contact between the exterior surface of the anchoring element and an interior surface of a heart lumen, preferably the atrium, wherein at least one of the end areas of the hose comprises a surface area being turned outside in and being surrounded by the sheath itself.La présente invention concerne un implant cardiaque, étant particulièrement conçu pour réduire ou éliminer une insuffisance de valvule cardiaque après implantation dans le cœur, comprenant un élément de fermeture pouvant être positionné à lintérieur de lanneau de valvule cardiaque, étant particulièrement conçu pour fermer ou au moins pour réduire un espace restant entre les feuillets de valvule de fermeture, lélément de fermeture comprenant un élément de fixation tubulaire (1) et une gaine (2) entourant au moins partiellement lélément de fixation tubulaire, la gaine étant formée dun tuyau présentant deux zones dextrémité opposées, particulièrement deux zones dextrémité formant col effilé opposées, la gaine étant fixée à lélément de fixati