Network security and its energy efficiency are facing tougher challenges for mobile ad hoc networks (MANETs) due to emerging purposive strategic internal attacks conducted by smart malicious nodes and unavoidable external attacks. Most of the current works investigated the group key management for scalability and efficiency performance in MANETs to defend the external attacks, while some works envisioned the intrusion detection system or trust management to defend the internal attacks. However, fewer related protocols or algorithms could combine them well to enhance dual security performance as well as energy efficiency in MANETs. To this end, we have proposed a novel group key management protocol with high energy efficiency for the strategic mobile scenario of MANETs, which is provided with three functions to address the issues of improving security and energy efficiency performance: (1) designing a self-organized group establishing algorithm for strategy mobile application scenarios to ensure stable groups in spite of users' mobility with reducing the cost of rekeying operation, (2) proposing a lightweight contributory key agreement and authentication mechanism based on the group Diffie-Hellman protocol for enhancing global security, and (3) researching a strategic mobile management mechanism based on the Prufer codec method handling the effect of mobility impacts to enhance the multicast energy efficiency and provide secret communication among roaming users in MANETs. Both theoretical analyses and simulation results have demonstrated that our protocol is more energy-efficient for strategy mobile application scenario of MANETs with a large number of users.