A spread spectrum clock generation apparatus includes a frequency modulator configured to generate an output clock signal, a frequency of which is variable with reference to a predetermined center frequency, by frequency-modulating an input clock signal according to a modulation profile signal; and a profile generator configured to generate a nested-modulation profile for controlling the frequency of the output clock signal, generate the modulation profile signal according to the nested-modulation profile, and output the modulation profile signal to the frequency modulator, wherein the profile generator is further configured to generate the nested-modulation profile by varying a cycle and a change range of a triangle modulation profile having a triangle waveform pattern having a pre-designated cycle and a pre-designated amplitude with reference to the center frequency in a time-frequency domain.