With the development of network technology and the requirement of citizens in 21st century,the research on the definition and theory of Cyberspace becomes popular. Firstly,this paper proposes the etymological research on Cyberspace. Furthermore,analyze the history of researching and the stages of development on cyberspace in U.S. government. Summarize the definitions of cyberspace,cyberspace infrastructure,and cyberspace service from U.S. government,military,academia respectively. Then,the difference,compositions and connections among six nouns are proposed,which include CS,CS fundamental intrstruments,CS service,critical CS,critical CS fundamental instruments and critical CS service. Finally,conclude this paper,and claim the outlook of the research on cyberspace.