This paper introduced on advancing the wire electrical discharge machine (WEDM) process parameters for the normal surface roughness (Ra) acquired in machining of VANADIS 4e (Powder metallurgical cold worked Tool steel). The Machining analyses were performed at WEDM machine utilizing 0.25 mm wire as electrode material on p/m cold worked tool steel. Taguchi L 27 orthogonal array (OA) was utilized to outline of trial. Ideal methodology parameters were resolved utilizing the signal-to-noice (S/N) proportion which was computed for R a as per ''the-smaller-the-better'' approach. The methodology parameters of WEDM procedure were pulse on time (ON), pulse off time (OFF), servo voltage (SV), peak current (IP), wire tension (WT) and water pressure (WP). The impacts of the methodology parameters on surface roughness were assessed by the examination of change (ANOVA). The most essential associations, that impact surface roughness of machined surfaces, are between the pulse on time (ON) and pulse on time(ON), pulse off time(OFF) and Peak current(IP), and between pulse on time(on) and Peak current(IP). The ideal estimation of surface roughness is anticipated at the ideal levels of noteworthy as Pulse on time (A1), pulse off time (B3), peak current (C3) and spark gap set voltage (D1) and wire tension (E3).