The differential cross section of layered lossy dielectric cylinders of finite length due to a plane electromagnetic wave at oblique incidence is derived. The solution is obtained by approximating the fields within the finite-length cylinders by those which would exist in infinite-length cylinder having the same permittivity, orientation and size. The scattered field relations are then used to obtain the differential cross section equation in closed form. The differential cross section obtained in this manner is compared by available numerical results and good agreement was obtained for TE and TM polarizations.