A method and apparatus for providing security of an electronic apparatus are provided. The method includes identifying an environment of a client to be provided with a cloud service from at least one cloud server, determining one of an address size and an address range of a memory of the client used to execute a cloud process of the cloud service, and executing the cloud process, determining and storing a process state of the cloud process in response to the executing the cloud process in the memory, monitoring the cloud process accessing the at least one cloud server, and preventing an unauthorized access according to a result of the monitoring.