A heart assistance device for the pulsatile delivery of blood. A first and a second pump chamber are provided, and also a pump. Both pump chambers each have a fluid chamber and a blood-carrying chamber. By means of the pump, each fluid chamber can be filled with a fluid or emptied thereof in such a way that an expansion or contraction of the fluid chamber takes place. During the expansion of the fluid chamber of one pump chamber, a compression of the blood-carrying chamber of the same blood chamber takes place.The pump is designed as a roller cell pump or vane pump.