In a frequency synthesis system with self-calibrated loop stability and bandwidth, a detector produces a detection signal based on a difference between an input signal and a feedback signal; a charge pump produces a control signal based on the detection signal; a filter produces a tuning signal and a source current based on the control signal; a bias circuit produces first and second bias signals; a controllable oscillator produces a differential output signal with a selected specific frequency; a differential-to-single converter produces an output signal with the selected specific frequency; a programmable frequency divider produces the feedback signal; a current mirror circuit receives the source current for producing a mirror current; a compensation circuit produces a compensation current based on the mirror current for compensating the variation of the damping factor and the bandwidth-to-reference frequency ratio.