As a large number of electric vehicles generate additional load impact because of their access to the power grid or micro grid, an electric vehicle transaction model based on generalized Nash bargaining (GNB) theory is proposed. In the market, the distribution network (DN) operator is chosen to be the agent. Transformers along with shunt capacitors are also installed in the distribution network. Through the on-load tap changer on the transformers and capacitors, DN operators can manage the voltage and reactive power (Volt VAR) on the network. Moreover, two trading methods are allowed in the market. One is that the electric vehicles trade with the distribution network directly, and the other is the energy trading in a peer-to-peer (P2P) way between electric vehicles. Finally, the GNB problem is divided into two sub problems: a social welfare maximization problem (P1) and an energy trading problem (P2). They can be solved by calling genetic algorithms. As shown in the results, social welfare has increased by joining Volt VAR, and the various agents involved in the market have gained a more equitable distribution of profits. The proposed model promotes energy trading between electric vehicles and reduces the impact of disordered charging of electric vehicles on the power grid.