A multi-modulus frequency divider includes a frequency division module, a frequency selection module, and a retiming module. The frequency division module is configured to receive an input signal and perform mufti-mode frequency processing on the input signal, so as to generate and output a plurality of divided signals to the frequency selection module. The frequency selection module is configured to receive the plurality of divided signals from the frequency division module, select a divided signal having a desired frequency from among the plurality of divided signals, and output the selected divided signal to the retiming module. The retiming module is configured to receive the selected divided signal from the frequency selection module, perform a retiming operation on the selected divided signal, and output a retimed selected divided signal.