A scheme of optoelectronic hybrid optical clock frequency divider/multiplier is proposed and analyzed. The optical clock signal frequency divider/multiplier is realized by feedback modulation after the photoelectric conversion. The procedure of the frequency divider is similar to the principle of D flip-flop, in which the output signal is used to control the input signal. The frequency multiplication of optical clock is also implemented by simply changing the feedback sequence without replacing devices. According to signal processing in the time/frequency domain, the principle of frequency divider/multiplier is discussed respectively and the feasibility of the proposed scheme is demonstrated. In the experimental demonstration, 5 GHz optical/electric clock signal and 20 GHz optical clock signal are generated from a 10 GHz optical clock signal. The system has simple configuration, stable performance. It is transparent to the wavelength of the optical signal, and doesn′t need the optical, electrical filter. In this system, the optical/electrical signal can be output simultaneously, therefore it has good practicability and can easily cooperate with the subsequent signal processor.