The access of a high proportion of new energy and DC loads has brought new challenges to the distribution network. With the continuous development of the converter technology based on voltage source converter(VSC), the AC/DC hybrid distribution network has been more and more widely used because it can provide an efficient and economical access method for distributed power sources. An operation optimization model of AC/DC hybrid distribution network including distributed power generation, energy storage and VSC is proposed. The goal is to minimize the comprehensive operating cost of the system consisting of the sum of the power purchase cost of the distribution network, the cost of abandoning wind and solar energy, the cost of network loss and the daily operation and maintenance cost of energy storage, and the power purchase of the distribution network, the power of the VSC and the charging and discharging strategy of the energy storage are optimized. To solve the problem that the mixed integer nonlinear model is difficult to solve, a linearization method considering network loss is proposed to linearize the model. This method is not limited by the topology of the grid, and has wider applicability. Finally, the effectiveness and accuracy of the proposed method are verified in a modified 13-node example.