Information security is one of the most important enterprise assets. For any organization, information is valuable and should be appropriately protected. Also, security is to combine systems, operations, and internal controls to ensure the integrity and confidentiality of data and operation procedures in an organization. Knowing the fact that with serious threat of unauthorized users on the Internet, information security is facing unprecedented challenges, and effective information security management is one of the major concerns. Moreover, the field of computer and information security focuses on designing measures that can enforce security policies, especially in the presence of malicious attack. On the other hand, security in E-commerce generally, employs procedures such as authentication, ensuring confidentiality, and use of cryptography to communicate over an open system. In this paper, we will discuss the security in cyberspace and recommend some suggestion for application of security in e-commerce.