Abstract. The inductance gradient is one of the most important indexes to evaluate the performance of the electromagnetic railgun. It has important theoretical and practical value to research the inductance gradient and its influencing parameters. According to the Biot-Savat's law and the principle of virtual work, the expression of the inductance gradient considered the skin effect of current has been given, and by using Monte-Carlo algorithm the numerical solution has been calculated. In order to verify the correctness and accuracy of the model, the finite element simulation software is used to compare with the numerical solution. Based on the model, the influencing parameters of inductance gradient has been analyzed, and the variation of the inductance gradient has been summarized. The results show that, the inductance gradient decrease with the separation distance between the inside and outside rail, decrease with the height and width of the rail, increase with the displacement of the armature then tend to constant. The research can provide a reference for the design of series-connected augmented railgun.