The present invention relates to an apparatus for generating clock pulses using a Direct Digital Synthesizer (DDS). The present invention seeks to solve the problems of the conventional clock generator using a Phase Locked Loop (PLL) circuit where the output clock frequency cannot be varied and the output clock signal is degraded because of jitter and phase noise. The claimed apparatus comprises a phase accumulator, a phase-to-magnitude converter, a Digital-to-Analog (DA) converter, a band pass filter, and a comparator, which are serially connected. A 10× PLL multiplier provides a 196.608MHz clock signal to the phase accumulator, the phase-magnitude converter and the digital analog converter, respectively. The phase accumulator also receives a Frequency Tuning Word (FTW) and using this FTW and the 196.608MHz clock, outputs a desired specific frequency value. This frequency value is processed through the phase-magnitude converter, the digital analog converter, a band pass filter and a comparator in order to become a square wave of a desired frequency with a low jitter.