This work is focused on some affecting parameters in Wire electrical discharge machining process for AISI 1012 steel by using brass wire and zinc coated brass wire with 0.25mm diameter. Pulse on time, pulse off time, spark gap voltage and servo feed had been studied as input parameters while wire wear ratio, metal removal rate and surface roughness were the outputs. The experiments showed that increasing pulse on time would increase wire wear ratio, metal removal rate and surface roughness. While, increasing pulse off time, spark gap voltage and servo feed will cause a little increase in wire wear ratio, decrease metal removal rate and improve surface roughness. Artificial Neural Network had been used to predict the process outputs for 16 samples, which gave good results and agreement with experimental results. Analysis of Variance had been used to find the contribution of the process parameters on outputs.