A fan delay control circuit includes a fan connector connected to a fan of an electronic device, a power supplying module connected to the fan connector, and a rotational speed controlling module connected to the power supplying module. The power supplying module is connected to a fan power source and a stand-by power source. The power supplying module may continue to supply power to the fan when the electronic device including the fan is powered off. The rotational speed controlling module includes a square wave generation circuit which generates a square wave signal to control a rotational speed of the fan even when the electronic device is powered off.