The survivability of the wireless sensor network (WSN) is threatened by resource limitations and security attacks. Security and survivability of WSNs are receiving increasing attention, particularly critical infrastructure protection. Our goal is to develop a framework for secure and survivable WSN that can provide essential services in the presence of attacks and failures, and recovery of full services in a timely manner. To achieve such a goal, we propose a framework of survivability model with rejuvenation methodology for WSNs. This paper also outlines the interaction of survivability, security and fault tolerance, so that we can effectively analyze and design the secure and survivable WSNs. The system is modeled under Markov chain and numerical results are included to show the performance of the proposed methods. It will be one of the approaches for improving the survivability level in WSN environment.