It is an era of information, with the increasing popularity and application of computer technology and network, a large number of Internet services and the provision of information make more **data** computing, storage and application functions for people to use, making people's life and work more and more convenient [1][2]. However, as an emerging computer technology based on the Internet, cloud computing not only provides reliable and secure **data** and convenient services for people, but also attracts increasing attention and concerns about the security of computer networks in the cloud computing environment [3][4]. Therefore, the computer network security in the cloud computing environment is firstly described in this article [5]. Also, the analysis and understanding of the current situation of network security of the cloud computing is mentioned later. Finally, we give some suggestion of strengthening network security [6]. We hope to promote the development of the information society for the security of the network environment, which is of great significance.