Provided are a heat recovery apparatus based on a fuel cell and an operating method thereof. In the fuel cell-based heat recovery apparatus and the operating method thereof, hot water and steam may be generated by using heat generated while a molten carbonate fuel cell (MCFC) operates to supply the generated hot water or steam to buildings, thereby reducing a rate of operation in cooling/heating equipment using electricity so as to reduce air-conditioning costs.

A fuel cell module (includes a first area where an exhaust gas combustor and a start-up combustor are provided, an annular second area around the first area and where a reformer and a heat exchanger are provided, and an annular third area around the second area and where an evaporator is provided. Second circumscribed non-uniform-flow suppression plates are provided along the minimum circumscribed circles which contact outer surfaces of heat exchange pipes of the heat exchanger.