The dual-pulsation bi-ventricular assist device (DPbi-VAD) proposed presently includes 1) conduit manifold, 2) blood pump having a blood compartment, a pumping compartment and a pumping membrane separating the blood compartment and the pumping compartment, 3) extra-corporeal or intra-corporeal driver system, 4) physiological controller, 5) systolic support sac having an inflatable chamber, and 6)energy and information transfer system. The controller controls the driver system to alternately or intermittently repeat the following steps a) filling the pumping compartment with a working fluid while withdrawing the working fluid, from the inflatable chamber, and b) filling the inflatable chamber with the working fluid while withdrawing the working fluid from the pumping compartment. This DPbi-VAD can be implanted with the diseased heart intact.