In this study frictional contact problem of an orthotropic layer indented by a rigid moving cylindrical punch is considered. The rigid punch moves over the orthotropic layer with a constant subsonic velocity. The layer is fully bonded to the rigid foundation and the external and tangential forces are applied via rigid punch. Utilizing the Fourier integral transform, the plane contact problem is reduced to a second kind integral equation in which the unknowns are the contact stress and contact widths. To solve the singular integral equation numerically Gauss-Jacobi integration formula is employed. Two material type which are Glass-Epoxy (GI/Ep) and Boron-Aluminum (B/Al) are chosen two analyze the effect of the moving velocity V(2)p/C-66, the friction coefficient r and the punch radius R/h on the contact width, contact stress and in-plane stress.