The frequency synthesizer has two fixed frequency dividers, two charge pumps, five capacitors, a voltage controlled oscillator, and a transconductance voltage amplifier. The pulse widths of the input reference signal and the output signal are compared and the resultant signal is coupled to the oscillator to adjust its frequency. The circuit exhibits accurate frequency synthesizing, and thus can be used in wireless communication and signal processing systems. It provides a precise integer and fractional frequency division with a low phase noise. Moreover, it has a simple and compact structure that can be implemented in integrated circuit technologies such as CMOS.