In the last few decades, technological progress has been made important information systems that require high security, Use safe and efficient methods for protecting their privacy. It is a major challenge to Protecting vital data and the ability to threaten attackers. And this has made it important and necessary to be sensitive to the authentication and identify of individuals in confidential network systems. In this paper, a method is presented for protecting privacy in social networks with a hybrid biometric architecture. In the proposed method, was used to the combination of biometric indexes of fingerprints and iris effect to maintain confidentiality in user access and authentication. Also, to demonstrate the availability of the method, an accurate evaluation is made by creating a model that is implemented with the help of integrated modeling language and colored petri nets with strong mathematical backing. The results indicate improved access and privacy with high confidentiality Manuscript profile