Abstract: Contact problem of fiber reinforced polymer cylinder with rigid plane was analyzed by finite element method(FEM). Stress distribution in fiber and matrix were studied considering different fiber orientation angles, when fiber lied on the contact surface. The result reveals that the stress on the matrix beneath the fiber is released and intensified above the fiber. Meanwhile, the maximum stress on fiber as well as the contact stress on fiber surface increases linearly with its axialdistribution angle and effected barely by its tangentdistribution angle. The elastic energy of fiber is proportional with both its axialdistribution angle and its tangentdistribution angle, but the former scale coefficient is larger