In recent years, virtual power plant （VPP) has been developing rapidly as an effective means of aggregate utilization of renewable energy. With the expansion of VPP grid-connected scale, the problem of multiple interconnected VPP transactions has become increasingly prominent. Aiming at the transaction game between multiple VPPs, considering the characteristics of the physical network, cooperative game strategy of multiple VPPs considering the operational constraints of distribution network is proposed in this paper. Firstly, considering the operation constraints of the distribution network, the internal resources of the VPP are integrated and modeled, and then the VPP energy management model is established. Secondly, through the introduction of peer-to-peer （P2P) energy transactions, the autonomous energy management and collaborative pricing of multiple VPPs systems can be realized, and P2P energy transactions can be achieved without harming the interests of all parties. At the same time, considering the uncertainty of electricity load and renewable energy output, a typical scenario generation algorithm is used to construct a fuzzy set of probability distribution of uncertain variables. Aiming at the privacy problem arising from multi-agent transactions, column constraint generation algorithm combined with alternating direction multiplier method are adopted to solve the model in this paper. Finally, a numerical example is simulated on the IEEE 123 nodes test system, and the simulation results verify the effectiveness of the proposed model and algorithm.