The traditional method of solving nonlinear equations has many iterations and takes a long time. Therefore, a trust region algorithm for solving nonlinear equations is proposed. Firstly, the trust region algorithm model is established, the nonlinear equations are transformed into unconstrained problems, the iterative process parameters are determined, the Hessian matrix is established, and the approximate sequence is constructed. Then, the convergence analysis is carried out by using the counter argument method to verify the feasibility of the algorithm. In the simulation experiment, three cases are selected to verify the traditional algorithm and the algorithm proposed in this paper. The experimental results show that the results of the two algorithms are similar, but the iteration times, CPU time and function value are better than the traditional algorithm.