Power flow convergence adjustment is an important part of the calculation of power system operation modes. Unreasonable reactive power arrangement is one of the important reasons for power flow divergence. Since there is strong non-linearity in the reactive power problem, it is difficult to adjust power flow just by human experience. To this end, this paper proposes a reactive power adjustment method for power flow convergence based on the adaptive Levenberg-Marquardt method, which introduces adaptive damping factors and decomposes the original problem into active and reactive sub-problems in the form of sequential quadratic programming. Augmented Lagrange function and trust region methods are used to decide whether the update of the iteration step can be accepted. The reasons why the proposed method can improve the numerical stability are also analyzed in detail. The numerical analysis of a IEEE 300-bus system, Poland’s 3375-bus system and a provincial power system shows that the proposed method can give the least squares solution of reactive power adjustment to achieve power flow convergence, and provide reference for power system operators in power flow adjustment. This work is supported by the Science and Technology Project of State Grid Corporation of China (No. 5700- 202019359A-0-0-00).