Abstract: Distributed scheduling can effectively overcome the difficulties in concentrating production information due to the communication capacity limitations and the subsystems belonging to different stakeholders. And it is more conductive to take the advantage of hybrid AC-DC distribution grid (HDG) in reducing losses and absorbing renewable energy generation. However, the high nonlinearity and nonconvexity of VSC operation functions and power flow constraints are huge obstacles to solve distributed optimal scheduling problems by the traditional methods. In this paper, a linear approximation method for VSC operation functions is proposed, transforming all the subproblems into mixed-integer linear programming problems, which guarantees the convergence and the global optimality of the subproblems. Then based on analytical target cascading, the distributed scheduling is applied to collaborate all the subproblems. Finally, with the case study of several HDG systems of different sizes, the correctness and versatility of the proposed algorithm are fully verified. The cases also fully reflect that distributed scheduling can effectively protect the privacy of production entities, reduce the requirements for distribution grid communication capabilities, and meet the development needs of future regional autonomous distribution grids.