We explore the possible pseudogap phenomena of colorsuperconductivity (CSC) in high density quark matterwith use of a simple Nambu-Jona-Lasinio model.It is found that there exists gap-like structurein the quark spectral functioneven above the critical temperature of CSC.We will discuss the manifestation of the pseudogap of CSCin the analogy of the high-tempearture superconductivity.