Using natural hemp fibers to reinforce the tensile characteristics of polymer matrix composites is investigated in this article. The fibers were applied to the epoxy matrix in unidirectional and hybrid tissue forms. After preparation of standard tensile stress test specimens via manual layup, the standard tensile test was done. Young’s modulus, ultimate tensile stress, and the amount of absorbed energy before fracture were obtained experimentally. A comparison is performed with respect to fibers posture. In all cases, the tissue fiber samples gave a higher strength in comparison with the unidirectional laminated fibers. An analytical model is finally presented to estimate the elasticity modulus of the tissue reinforced composites.