The revolution of technology has presented smart vehicles. To use reliable cloud service for smart vehicles at low latency, vehicular edge computing (VEC) is introduced. VEC adopts a unique approach for providing better vehicular connection, data storage, and sharing information among IoT‐enabled vehicles. However, the establishment of secure communication and authorized access to data in these cloud‐based services are always a concern. To ensure secure and authorized communication, we construct an authenticated key agreement framework for VEC. The edge computing‐based proposed vehicular communication protocol provides secure and authorized communication for an edge‐endorsed IoT environment. The security is proved on the random oracle model. The analysis of computational efficiency is also included. Furthermore, we have conferred the comparison analysis of our designed scheme with other schemes.