Abstract: High-Resolution Electron-Microscopic Images (HREM) and Electron-Diffraction Patterns (EDP) are strong tools for researching matter structures. By using computer only, it can effectively analyze and deal with HREM and EDP. The application of computer in researching new matter state-‘quasicrystal phase’. The diagram flow-chart of the computer is given. Some practical example for researching quasicrystal structures are presented by observing HREMs and EDPs of quasicrytals.