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Wireless sensor networks (WSNs) have attracted a lot of researchers due to their usage in critical applications. WSN have limitations on computational capacity, battery etc which provides scope for challenging problems. Applications of WSN are drastically growing from indoor deployment to critical outdoor deployment. WSN are distributed and deployed in an un attend environment, due to this WSN are vulnerable to numerous security threats. The results are not completely trustable due to their deployment in outside and uncontrolled environments. In this current paper, we fundamentally focused on the security issue of WSNs and proposed a protocol based on public key cryptography for external agent authentication and session key establishment. The proposed protocol is efficient and secure in compared to other public key based protocols in WSNs.