A stent (1) used for a heart valve prosthesis and the heart valve prosthesis that includes the stent (1) and is used for heart valve replacement. The stent is configured to support a heart valve (3) and includes, along a longitudinal axis, an inflow section (8), an outflow section (6) and a transition section (7) between the inflow section (8) and the outflow section (6). The stent (1) has a contracted delivery configuration and an expanded deployed configuration. In the expanded deployed configuration, the inflow section (8) defines a concave contour that is complementary to a structure of a native valve annulus. The concave contour enables self-deployment and close adherence of the stent (1), thereby preventing its displacement and perivalvular leakage after implantation.
