A digital signal reproducing apparatus has the clock signal generating device 24 having: a frequency setting device 12 for setting a desired frequency on the basis of the predetermined linear velocity and a radius position of a pickup 1; a first frequency difference signal generating device 242 for generating a binary signal E corresponding to a difference between the desired frequency fsd and the frequency fs of the sample clock signal A to be used for reproducing a reproduction digital signal; a second frequency difference signal generating device 243 for generating a pulse signal L corresponding to a difference between the frequency based on the reproduction digital signal and the frequency fs of the sample clock signal A; a phase difference signal generating device 244 for generating a pulse signal Y corresponding to a difference between the phase based on the reading signal read from the disc and the phase of the sample clock signal A; and a synchronizing device 24 for synchronizing the frequency fs and phase of the sample clock signal A with the frequency of the reading signal on the basis of the binary signal E, the pulse signal L and the pulse signal Y.