An artificial heart valve consists of two or more valve members (10, 20) stacked one upon the other in a housing (40) and having blood flow passages (13, 23) that can be aligned with each other in order to open the valve and allow blood flow through the valve and that can be disaligned to close the valve. The valve members are maintained in continuous rotation and the alignment and disalignment of the valve members is achieved by slowing down and reaccelerating one or more of the valve members using a drive (18, 28) appropriately controlled by a control unit (C).