Abstract: Alternating solution method based on implicit trapezoidal integration is widely used in transient stability calculation due to its numerical stability and computational simplicity. However, there is a trade-off between its convergence performance and computational efficiency. In this paper, the convergence process of the traditional method was analyzed; a novel method was proposed based on Jacobian iteration for transient stability calculation, which can obtain better convergence performance by introducing Jacobian matrix, and reduce the computational burden by adopting very dishonest Newton method (VDHN). Furthermore, the proposed method can improve the computational efficiency by solving the linear algebraic equations with Jacobian iteration. Based on the IEEE standard 16-generator 68-bus system, the simulation validation, convergence process, and computational efficiency were analyzed and compared with the traditional method, modified method, and the direct VDHN method. The calculation results demonstrate the superiority of the proposed method.