A complex fuel cell stack with hydrogen storage unit is introduced. Through the new configuration of the PEM fuel cell stack, no cooling system and cooling fluid is needed for the fuel cell stack, since hydrogen storage vessel can act as a heat sink to protect the expensive catalyst layer of the MEA of the fuel cell away from over-heated and damaged. In addition, the waste heat generated from the operation of the fuel cells can aid in release of hydrogen from hydrogen storage alloys inside the hydrogen storage vessel.