A power generation system driven by heat pump which produces a heat source by heating and a cold source by cooling for the driving of a heat engine to produce mechanical energy to drive a generator generating electrical power. Part of the power generated by the generator is fed back to the heat pump continuously, and the remaining power is provided to end users in need of electrical power. The heat engine of the power generation system can be Stirling engine or a steam turbine, wherein the heat efficiency of the Stirling engine can reach 25%, and the heat efficiency of the steam turbine can reach above 30%. The heat pump used in the power generation system can be a vapor-compression heat pump. Under operating conditions where temperature difference between the generated heat and cold sources is over 25 degree celcius, the coefficient of performance can reach above 7.