For the security of group communication and the group key update efficiency in vehicular ad hoc network,the condi-tional privacy-preserving authentication and group key agreement scheme in vehicular ad hoc network was proposed.A group key generation and distribution mechanism based on one-way hash chain was designed,achieving fast update of group key and for-ward and backward security of group key.To reduce the storage management of trusted authority,vehicles used long term pseu-donym and random numbers to randomize the long term pseudonym,hiding the true identity and achieving unlinkability.Trusted authority used system private key to calculate the unique tag for vehicle,binded the unique tag to long term pseudonym to enable vehicle traceability.The security analysis and experiment results show that the proposed scheme can satisfy the security require-ments,such as conditional privacy-preserving,forward secrecy,backward secrecy,etc.,and compare with group key manage-ment scheme,it has a low overhead.