A method and apparatus for tuning a phase of a data clock signal having a different frequency than a main clock signal. The method of tuning includes coarse tuning by receiving the data clock signal, dividing the data clock signal to generate a frequency-divided clock signal having a same frequency as the main clock signal, repeatedly shifting the frequency-divided clock signal to generate multiphase frequency-divided clock signals at a predetermined phase interval, comparing a phase of each of the multiphase frequency-divided clock signals with a phase of the main clock signal, and determining a phase shift amount based on a comparison result, and fine tuning by comparing a phase of a multiphase frequency-divided clock signal corresponding to the phase shift amount with the phase of the main clock signal and adjusting the phase of the data clock signal by a predetermined phase step based on the comparison result.