An anode gas non-recirculation type fuel cell system includes a fuel cell, a buffer tank for purging impurity gas included in anode off-gas from the fuel cell stack, an impurity gas concentration detector for detecting impurity gas concentration in the buffer tank, and an anode gas supply unit for supplying anode gas to the fuel cell stack. When pressure-supplying impurity gas in the fuel cell stack to the buffer tank while pulsating a supply pressure by the anode gas supply unit, an activation control is executed by changing, by the anode gas supply unit, at least one of a pulsative pressure and a pulsative cycle of anode gas supply according to impurity gas concentration in the buffer tank. According to the system, it is possible to get adequate hydrogen gas concentration in a fuel cell stack and to remove impurity at its activation.