Sleep is an essential process which recovers physical and mental health for a human in a unconscious state. A low efficiency of the sleep can cause diseases such as narcolepsy or excessive daytime sleepiness(EDS). Therefore, the studies about diagnostic methods for the efficiency of sleep have been needed. In this study, the classification of sleep-wake state based on analysis of gamma wave activities induced from single-channel EEG is proposed. Temporal gamma power was calculated by FFT and a threshold is applied in order to classify the two states. Consequently, the feasibility of the classification of sleep-wake using gamma activity has been shown.