This paper describes a security model for protection of individual cyberspace (ICS) as a way of ensuring a secured user's virtual environment. A concept of cyberspace and its main definitions is determined, as well as a formal model that describes mapping of prototypes in cyberspace into real-world objects. Based on analysis of contemporary security threats and methods of protection against them basic requirements for a security model were declared to ensure availability, integrity and confidentiality of user data within cyberspace. Information on cyber threats, as well as a review of existing security solutions in cloud computing was taken as a basis for the proposed ICS security model. The goal of the paper is to represent an analysis of security issues related to ICS and propose the conceptual model of a modern security environment.