Wire electrical discharge machining is a widely utilized non-traditional machining process known for its ability to produce complex shapes and precise components in hard-to-machine materials. However, optimizing the process variables to achieve superior surface finish and dimensional accuracy presents significant challenges. This investigation focuses on the optimization of process parameters in wire electrical discharge machining (WEDM) with the objective of minimizing surface roughness. Utilizing the Taguchi technique, an L9 orthogonal array was employed to systematically evaluate the effects of critical process variables, including pulse on time, pulse off time, wire feed rate, and peak current, on surface finish. The signal-to-noise (S/N) ratio served as the primary analytical tool to identify the optimal parameter levels. The findings demonstrate that the selection of optimal process settings can achieve a substantial improvement in surface roughness, reducing it to a precision level of approximately 35 µm.