A fuel supply control device including: a pump chamber having an inflow port through which fuel flows in and a discharge port for discharging the fuel toward a fuel injector ; a first electromagnetic valve which is provided in the inflow port for closing the inflow port; a check valve which is provided in the discharge port and which is configured to be opened when a pressure of the fuel in the pump chamber becomes not less than a specified valve opening pressure (Prev); a control means for closing the first electromagnetic valve; a camshaft which receives power from an internal combustion engine; and a plunger which abuts on the camshaft to slide in the pump chamber, wherein the first electromagnetic valve is configured to close the inflow port and the plunger is slid in the pump chamber to thereby compress the fuel flowing into the pump chamber, thereby discharging the fuel toward a fuel injector, the fuel supply control device comprising: a number-of-revolutions sensing means for sensing a number of revolutions (R) of the camshaft, wherein in a case where a discharge instruction signal that is a command of discharging the fuel is OFF and where the number of revolutions (R) sensed by the number-of-revolutions sensing means is not less than a specified number of revolutions (Rth) during a period in which the fuel needs to be sent to the injector, the control means is configured to close the first electromagnetic valve in such a way that the plunger compresses the fuel during a period which is shorter than a case where the discharge instruction signal is ON, a common rail which communicates with the discharge port and which holds the high pressure fuel discharged from the discharge port; and a first pressure sensor which is provided in the common rail and which senses a rail pressure (Pr) that is a pressure of the fuel in the common rail, wherein, on the basis of the rail pressure (Pr) sensed by the first pressure sensor, the control means is configured to close the first electromagnetic valve in such a way that the rail pressure (Pr) is not made larger than the specified pressure (Prth) by the fuel discharged to the common rail, and the first electromagnetic valve is closed before the plunger reaches a top dead center and is opened after the plunger reaches the top dead center. a number-of-revolutions sensing means for sensing a number of revolutions (R) of the camshaft, wherein in a case where a discharge instruction signal that is a command of discharging the fuel is OFF and where the number of revolutions (R) sensed by the number-of-revolutions sensing means is not less than a specified number of revolutions (Rth) during a period in which the fuel needs to be sent to the injector, the control means is configured to close the first electromagnetic valve in such a way that the plunger compresses the fuel during a period which is shorter than a case where the discharge instruction signal is ON, a common rail which communicates with the discharge port and which holds the high pressure fuel discharged from the discharge port; and a first pressure sensor which is provided in the common rail and which senses a rail pressure (Pr) that is a pressure of the fuel in the common rail, wherein, on the basis of the rail pressure (Pr) sensed by the first pressure sensor, the control means is configured to close the first electromagnetic valve in such a way that the rail pressure (Pr) is not made larger than the specified pressure (Prth) by the fuel discharged to the common rail, and the first electromagnetic valve is closed before the plunger reaches a top dead center and is opened after the plunger reaches the top dead center. <EOS>