This thesis presents a low power consumption, low phase noise, and fast locking CMOS fractional-N frequency synthesizer with optimalied voltage-controlled oscillator. The frequency synthesizer is designed in a TSMC 0.18£gm CMOS 1P6M technology process. It can be used for IEEE 802.16e mobile Wimax¡¦s devices and outputing frequency is ranged from 2.3GHz to 2.45GHz for the local oscillator in RF front-end circuits. The proposed frequency synthesizer consists of a phase-frequency detector (PFD), a charge pump (CP), a low-pass loop filter (LPF), a voltage-controlled oscillator (VCO), a multi-modulus divider, and a delta-sigma modulator (DSM). In system design, two voltage-controlled oscillators we presented to achieve low power consumption, low phase noise, and stable output swing. Delta-sigma modulator (DSM) is adopted to produce high frequency resolution, switching over frequency fast and very low phase noise. This thesis proposes a switch circuit which can reduce the lock of time of synthesizer. In the mean time it also reduces the emergence of lose lock.