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Wireless sensor networks (WSN) have recently achieved a great deal of attention due to its numerous attractive applications in many different fields. The focus of monitoring application is to acquire and verify information about enemy capabilities and positions of hostile targets. Monitoring applications related to security and reliability requires guaranteed k-coverage of the area at all times. A point in the monitored area is covered if it is within the sensing range of a sensor. We consider a WSN consisting of a set of sensors deployed randomly and form groups for its application. This paper focuses on k-coverage and security issues for group based application of WSN. An efficient secure coverage protocol for monitoring application is proposed and its efficiency is analyzed.