A heart valve prosthesis includes a heart valve encircled by a base body in a peripheral direction to hold the heart valve. The heart valve is fastened to the base body and arranged in its interior. An inner skirt is arranged in the interior and is fastened to an inner surface of the base body. An outer skirt is arranged on the outer surface of the base body. The inner and outer skirts form a receptacle to accept and collect blood during diastole.