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Security is a term used to provide secrecy of data from the illegal entries. It is used to prevent a user that he/she should not have access to. It is a two step process. The security system in the first step identifies who the user is by requiring the user to submit some sort of identification. This is called authentication, and it means that the system is trying to find out who you are. Once the system identifies who you are, in the next step the system has to determine that you should permitted to access the recourse. This part of the process is called authorization, and it means that the system is checking to see if you have privileges to perform a certain action. OAuth and OpenID are the authentication schemes are used for authentication but they also have privacy protection problems. Here we are proposing composite private key over cloud system which is protected by splitting key into different servers which combines to form a single composite key. In this approach we are having third party key servers used public key cryptography to save public/private keys of their clients. We are using ring signatures by forming the network into ring and public keys are shared from that ring structures. We are proposing this composite private/public key pairs for privacy preserving in the facebook and other social network. We also propose homomorphic algorithm to prevent the compromised key server problem with the attacker.