A detailed analysis for anisotropic semi-infinite medium, under the effect of concentrated forces,is given. The analysis deals with some kind of anisotropy, in which the material properties are cylindrically orthotropic. The effect of a line concentrated load on a semi-infinite cylindrically orthotropic foundation is treated. The radial and tangential displacement components are chosen to satisfy the equilibrium, compatability and boundary conditions of the problem. Using the generalized Hookels law, the assumed displacement functions leads to a simple radial stress, which occurs in such kind of problems, as found in literature. The effect of anisotropic constant on radial and tangential displacement components is discussed. Variations of displacement components along the radial and tangential directions are given.