A SOFC system includes: a fuel cell stack; a reformer; an air supplier: a combustor; and a controller. In a stop control of the above system, the controller calculates an average of ratios of the air to the raw material supplied to the reformer as a first average, in a case in which a molar fraction of a hydrogen component in the anode off-gas is higher than a molar fraction of a raw material component in the anode off-gas, and calculates the average of the ratios of the air to the raw material supplied to the reformer as a second average, in a case in which the molar fraction of the hydrogen component in the anode off-gas is lower than the molar fraction of the raw material component in the anode off-gas. The controller controls the air supplier so that the first average is higher than the second average.