An exemplary surge current alarm circuit includes a detecting circuit to detect a surge current and convert the surge current into a digital signal with a pulse width corresponding to a duration of an over value part of the surge current when the surge current is over a limitative current value; a processing circuit connected to the detecting circuit to receive the digital signal and generate an alarm signal when the pulse width of the digital signal is over a limitative time; and an alarm circuit connected to the processing circuit to give an alarm upon receiving the alarm signal from the processing circuit.