In this study, tensile properties of nanocomposites based on polypropylene/ Carboxylated Nitrile Rubber /Silica nano powder (PP/XNBR/Sic) were studied by using response surface methodology(RSM). The design of the experiment was carried out using Box-Behnken of the RSM method. The samples were produced using a co-rotating twin screw extruder including 0, 2, 4 Wt. % of nano particles, 0, 5, 10 Wt. % of carboxylated Nitrile Rubber and 0, 3, 6 Wt. % of Polypropylene-g-glycidyl Methacrylate (PP-gMA) as comptabilizer. tensile test was carried out to obtain tensile strength, elastic modulus and elongation at break of nano composites. The results showed that elastic modulus and tensile strength of nanocomposites were increased with addition of nano silica powder by 45% and 9% respectively. Also, the presence of XNBR was increased elongation at break by 39% and increasing the comptabilizer factor (PP-gMA) has slightly increased the tensile strength. In addition, it was found that XNBR has the greatest effect on tensile strength and elongation at break and silica nano powder has the greatest effect on elastic modulus. Finally, a regression model was obtained for tensile strength, elastic modulus and elongation at break, respectively.