The trading behavior of virtual power plant (VPP) in the carbon-electricity market will affect the harmonious development of the market. Therefore, this paper proposes a peer to peer (P2P) transaction matching method for VPPs to participate in the carbon-electricity convergence market considering trading harmony. Firstly, the overall framework for VPPs participating in P2P transaction mechanisms of the carbon-electricity convergence market is designed. Based on the operation plan of each unit of source, load and storage in VPP and the carbon emission coefficient of carbon-emitting units, a transaction capacity evaluation model for VPP to participate in the electricity market and carbon market is constructed. Meanwhile, by analyzing the impact of various historical transaction behaviors and performance behaviors of VPP on the harmonious development of the carbon-electricity trading market, the evaluation index of trading harmony for VPP participating in the carbon-electricity market is proposed. Secondly, a P2P transaction matching model for the primary carbon-electricity convergence market is constructed with the objective function of maximizing the total transaction acceptance of both parties, including the transaction harmony of both parties, the transaction price acceptance of both parties and the carbon neutrality achievement of both parties. Furthermore, a secondary carbon market P2P transaction mechanism is established as a supplementary part of the primary carbon-electricity convergence transaction market for the carbon rights transaction volume corresponding to the deviation between the actual executed electricity and the agreed electricity in the day-ahead electricity market. Finally, the simulation example verifies that VPP with high trading harmony and low carbon emissions are more competitive in the P2P transactions of the carbon-electricity convergence market.