The rapid growth of information and communication technologies (ICT), opened a way to think the development of Smart city, which is introduced by the government of many countries, to improve the living style of the urban area. Nowadays the number of vehicles within a family are increasing day-by-day which causes the total number of vehicles in the country to increase exponentially. This growth makes control and management of traffic very difficult. In the vehicular networking field, VANETs (Vehicular Ad-hoc Networks) is a concept, which has the ability to improve road conditions, traffic congestions, weather predictions, driving safety, passenger comfort, etc. In VANETs ensuring security is a major concern because of the highly dynamic nature of vehicles. In this paper, we propose a lightweight authentication scheme for communication in the V2V scenario. We used cryptographic concepts to transfer the message between the vehicles. Moreover, through performance analysis we identified that our scheme performs better with different parameters such as communication, computation, storage, and energy consumption. © 2018 IEEE.