An apparatus for generating hydrogen and a fuel cell power generation system equipped with the apparatus are disclosed. The apparatus can include an electrolyte bath containing the electrolyte solution, an anode positioned inside the electrolyte bath and configured to generate electrons, a cathode positioned inside the electrolyte bath and configured to receive the electrons from the anode to generate hydrogen, and a supplementary device configured to increase an amount of the hydrogen generated. The apparatus can be utilized to increase the amount of hydrogen generation at initial operation and reduce the time required to reach steady state.