In the present study, the finite element simulation using Ansys was carried out to analyze the influence of the shape, size and volume fraction of bidirectional hybrid (carbon, glass) fiber/Alumina particulate reinforced epoxy composite for the tension test. The volume fraction of the fiber reinforcement was maintained as 0.33, 0.67, 1, 1.33, 1.77 % and constant amount of 0.7 % alumina particles was added to the fiber/matrix mixture. Three types of fiber shape were considered i.e. cylindrical, rectangular and cylindrical fiber with hemispherical ends. The short carbon fiber of length 2 mm was used as the reinforcing element. The tensile test was simulated by considering and neglecting the interphase region independently. From the analysis it was found that, the tensile modulus was highest for rectangular shaped fiber reinforced composite. It was also observed that with the consideration of third phase material called as the interphase; improves the tensile modulus of fiber reinforced composite. At 1% volume fraction of carbon fiber addition to the epoxy matrix there was 38 %, 190% and 37 % improvement was observed for cylindrical, rectangular and cylindrical fibers with the hemispherical ends as compared to the neat epoxy. Again with the consideration of interphase properties, the tensile modulus was improved by 45%, 250% and 42%. The hybrid tensile modulus by considering interphase was improved by 58.9% and 249% for cylindrical and rectangular end. The simulated result well matches with the experimental results for cylindrical fibers with interphase.