With the advancement in the understanding of plasma discontinuous structures and the progress of related research, numerical methods for simulating plasmas based on continuous medium approach have encountered significant challenges. In this paper, a numerical model is presented to simulate the motion trajectory of an atmospheric pressure plasma jet under an external nonuniform electric field. The method proposes to treat the plasma jet as equivalent particles with permittivity and conductivity, based on its dielectric properties and motion characteristics. The numerical model demonstrates short calculation times and excellent agreement between simulation results and experimental observations, validating its high efficiency and effectiveness. This work contributes to a deeper understanding of the collective effect of the plasma jet and provides an effective and efficient method for predicting the motion trajectory of the plasma jet, along with guidelines for controlling plasma using external nonuniform electric fields.