With the constant development of economy in our country in recent years, the role of network technology in contemporary society has become more and more prominent. Network has become an indispensable important information tool for modern people's daily life and work, while cloud computing technology as a new kind of computer technology although can provide convenient service for people, at the same time, it also has hidden danger in network security. Therefore, to strengthen the construction of enterprise network security management system under cloud computing technology is particularly important. This article elaborates the important role cloud computing technology plays in the safe operation of enterprise network security management system, exploring the specific role computing technology plays in the construction of enterprise network security management system and putting forward strategies to further perfect enterprise network security management system under computing technology based on the overview of cloud computing.