The main objective of this work is to conduct a manufacturing experiment on a single-walled carbon nanotube (SWCNT)/polyester nanocomposite for characterization of its mechanical properties using a tensile test and nanoindentation techniques. Experimental specimens were made under identical conditions using the hot press process. Dispersion of SWCNTs in an unsaturated polyester matrix was conducted by a sonication method, and a high-speed shear mixer was used for mixing the curing agent and resin. Following the manufacturing of the SWCNT/polyester nanocomposites, characterization of the mechanical properties of the material was performed by tensile testing and nanoindentation techniques. In addition, the morphologies of the fractured surface of SWCNT/polyester nanocomposites were observed with a scanning electron microscope (SEM). The results of mechanical tests exhibit improvements of Young’s modulus and hardness by 35% and 29%, respectively, at 1.0 wt% SWCNTs. In addition, the elastic modulus determined by the nanoindentation technique differs from the one obtained from tensile tests by 16%. The experimental samples are expected to yield the novel promising materials that offer a low-cost, high-strength material for use in the manufacture of lightweight components for automobiles, transportation systems and consumer products.