On Si (111) surface, there exists a special type of Si magic cluster which has a uniform size and high thermal stability. This kind of clusters has been found to play an important role in mass transport, electromigration, step fluctuations, epitaxial growth and phase transformation. We use scanning tunneling microscopy (STM) and scanning tunneling spectroscopy (STS) to measure the local density of state of Si magic clusters and find that their I-V curves are very different from that of 7×7 surface. In addition, we analyze the spectra of Si magic clusters and find that there exists an energy separation of about 1eV near the Fermi level. We also compare the spectra of Si magic clusters with that of 7×7, so we can interpret the image contrast between Si magic clusters and the 7×7 reconstruction at different tunneling polarities.