Axisymmetric cutting processes are developing very fast nowadays, this development involves cutting harder materials which is not achievable by traditional ways, wire electrical discharge turning “WEDT" is one of the non-traditional cutting techniques that is underdevelopment to cut cylindrical formed workpieces on difficult-to-cut materials. In this research, the surface roughness “Ra" of the machined parts was studied concerning changing some of the machining variables (wire feed ‘Wf', workpiece rotational speed ‘ωwp', and pulse-on time ‘T_on'). The study was performed on AISI M42 HSS steel, using a CNC WEDM machine, with the assistance of a well-designed spindle to enable the manufacturing of the cylindrical geometry. An L₉ (3 x 3) Taguchi standard orthogonal array was chosen for designing the experiments, the analysis for the results was done using ANOVA to get the most significant factor on R_a, and regression analysis was used to define the relationship between involved process variables and R_a.