A clock generating apparatus and method for generating clock signals of different frequency. The clock generating apparatus and method receives and divides a main clock signal to obtain a reference clock signal. Then, the reference clock signal and the first feedback clock signal are phase-locked to obtain the first clock signal. Moreover, the reference clock signal and the second feedback clock signal are phase-locked to obtain the second clock signal. The reset signal and the first clock signal are received by a divider. The divider then outputs the first feedback clock signal. Another divider receives the reset signal and the second clock signal and then outputs the second feedback clock signal.