Various kinds of processes are used for drilling composites; however every type has their own characteristics. Among these processes, Abrasive water jet machining (AWJM) is largely used in different fields as aerospace industries for machining composites thanks to absence of temperature and contact tool with the work piece. AWJM proved some challenges when cutting carbon fiber reinforced plastic (CFRP) composites materials such as cut accuracy and good surface quality. In the present work, different cutting conditions including abrasive flow rate, jet traverse speed and standoff distance are tested in the cutting of woven fabric carbon reinforced plastics. For the experimental design, response surface methodology (RSM) was used for evaluating the modeling and analysis of responses such as surface roughness and hole taper. The main experimental results demonstrated that the stand-off distance (SOD) and traverse speed were the major parameters affecting the surface roughness (Ra) and the hole taper.