Vehicular ad-hoc networks (VANETs) are mobile networks intended to connect vehicles in urban and rural areas to provide communication among the vehicles. Due to network openness, unfortunately, VANETs are subject to a large number of potential issues related to security and privacy. In this paper, an efficient privacy preserving secure vehicle to vehicle(V2V) communication is being proposed. In our scheme, vehicles are allowed to share their identity and the random message in a secured manner. Firstly, we proposed a privacy protected identity based mutual authentication. Further, to enhance the security levels, session key is derived from timestamps, common key shared by the vehicles, privacy protected identity and random nonce decided by both the vehicles. Finally, the efficiency of proposed scheme is compared with existing privacy-preserving secure communication techniques, results proved that, our scheme is computationally taking less time. Also, it is secured against unknown key share attack, replay attack, key-compromised impersonation attack etc.