Sleep is an important physiological rhythm in the daily life that refreshes our mindset and cognitive functions through an interleaved procedure of consciousness and unconsciousness in the brain. The interesting idea is how our brain automatically turns into the unconscious mode from wakefulness to sleep. Previous studies denoted that the EEG power could be indications of the sleep onset timing. On the top of this, we took another alternative strategy to explore how the brain integrity/connectivity changes dynamically along sleeping process and the waking process. Results indicated that the brain connectivity showed linear reduction when sleep deepens, but on awakening process, the dynamic connectivity change expressed a nonlinear recovery, which implied an dynamic reorganization process after sleep.