A method of operating a fuel cell cogeneration system comprises the steps
of cooling a fuel cell by circulating an internal heat transfer medium
through the fuel cell while the fuel cell is generating electric power,
storing an external heat transfer medium in a heat utilization portion,
detecting remaining calories of the heat utilization portion by a first
detector provided at the heat utilization portion, increasing a
temperature of the fuel cell to an operating temperature by carrying out
a first temperature increasing operation, and increasing the temperature
of the fuel cell to the operating temperature by carrying out a second
temperature increasing operation.