Abstract: The finite displacement deformation of a composite radial tire is calculated by the FE method; the distortion effect of the meridian section of the tire[2] is especially considered and successfully simulated. The inflation pressure as a "following type" is also considered here. Finally the computational problem of such deformation is reduced to solve a set of nonlinear algebraic equations related to the strained configuration of the radial tire. By using a specially modified Newton's iterative method, the numerical results of the problem are obtained.