A solid oxide fuel cell device capable of changing a generation output value in response to an amount of generation required, comprising: a plurality of solid oxide fuel cells disposed within a generating chamber; a fuel supply device for supplying fuel to the plurality of individual solid oxide fuel cells; a thermometer for measuring the temperature of the generating chamber; and a control device for changing at least the amount of fuel supplied by the fuel supply device in response to an amount of generation required based on predetermined control characteristics for supplying fuel; wherein the control device is furnished with a temperature monitoring band, having a minimum temperature value (Ta) and a maximum temperature value (Tb) for adaptive control, the minimum and maximum temperature values being predetermined based on a minimum amount and maximum amount of rated electrical generation by the solid oxide fuel cells; wherein the control device is furnished with an adaptive control device for executing adaptive control by correcting the amount of fuel supplied based on a temperature signal from the thermometer so that the generating chamber temperature is kept within the temperature monitoring band when the generating chamber temperature exceeds the minimum temperature value (Ta) or the maximum temperature (Tb) for adaptive control and goes outside the temperature band, characterized in that the control device is furnished with a maximum temperature value for anomaly response control, which is higher than the maximum temperature value (Tb) of the temperature monitoring band, and a minimum temperature value for anomaly response control, which is lower than the minimum temperature value (Ta) of the temperature monitoring band; wherein the control device is furnished with an anomaly response control device for executing anomaly response control by restricting operation of the fuel cell device when the generating chamber temperature is higher than the maximum temperature value for anomaly response control or lower than the minimum temperature value for anomaly response control; and wherein the adaptive control device has a temperature monitoring band changing device for changing the temperature monitoring band by changing the minimum temperature value (Ta) and/or the maximum temperature value (Tb) under predetermined conditions. a plurality of solid oxide fuel cells disposed within a generating chamber; a fuel supply device for supplying fuel to the plurality of individual solid oxide fuel cells; a thermometer for measuring the temperature of the generating chamber; and a control device for changing at least the amount of fuel supplied by the fuel supply device in response to an amount of generation required based on predetermined control characteristics for supplying fuel; wherein the control device is furnished with a temperature monitoring band, having a minimum temperature value (Ta) and a maximum temperature value (Tb) for adaptive control, the minimum and maximum temperature values being predetermined based on a minimum amount and maximum amount of rated electrical generation by the solid oxide fuel cells; wherein the control device is furnished with an adaptive control device for executing adaptive control by correcting the amount of fuel supplied based on a temperature signal from the thermometer so that the generating chamber temperature is kept within the temperature monitoring band when the generating chamber temperature exceeds the minimum temperature value (Ta) or the maximum temperature (Tb) for adaptive control and goes outside the temperature band, characterized in that the control device is furnished with a maximum temperature value for anomaly response control, which is higher than the maximum temperature value (Tb) of the temperature monitoring band, and a minimum temperature value for anomaly response control, which is lower than the minimum temperature value (Ta) of the temperature monitoring band; wherein the control device is furnished with an anomaly response control device for executing anomaly response control by restricting operation of the fuel cell device when the generating chamber temperature is higher than the maximum temperature value for anomaly response control or lower than the minimum temperature value for anomaly response control; and wherein the adaptive control device has a temperature monitoring band changing device for changing the temperature monitoring band by changing the minimum temperature value (Ta) and/or the maximum temperature value (Tb) under predetermined conditions.