With the existing research on WEDM machine tools,this paper derived a formula to calculate the natural frequency of the wire electrode of the DK7740KJ WEDM machine tool by applying Hooke's law with the elastic modal theory.Based on this,an idealized model of the wire electrode was constructed and its boundary conditions were set with the software ANSYS Workbench.Through the simulation experiment,the modal values and mode shapes of the first six orders of the wire electrode were obtained when the pre-tightening force was 19N.By comparing the simulation results with the calculated values,the model and the boundary conditions were verified to be effective.Through modal analysis,we obtained the natural frequency with different spans and various degrees of tension and concluded that the modal value of the wire electrode rose as the span reduced or the tension increased,which can be used for reference to improve the precision of the workpiece processing of WEDM machine tools.