An oscillator and the control method thereof. The oscillator includes an oscillation unit to receive a first current and to generate an oscillating signal according to the first current, a frequency-to-voltage converter to receive the oscillating signal and to generate a converted voltage according to a frequency of the oscillating signal, and a voltage-to-current converter to receive the converted voltage and to generate the first current according to the converted voltage, wherein the first current is modulated from a first value to a second value after the initiation of the oscillation unit.