A circuit for generating negative voltage includes a variable period oscillator configured to generate an oscillator signal enabled in response to a detection signal and to determine a period of the oscillator signal in response to a control signal, a pump configured to perform pumping operations in response to the oscillator signal and to generate a negative voltage by the pumping operations, a negative voltage detecting unit configured to detect the level of the negative voltage to generate the detection signal, and a gate-induced drain leakage current detecting unit configured to measure the amount of a gate-induced drain leakage current to generate the control signal.