Abstract: In this paper, the stress boundary value problem of axis symmetry of a half-infinite elastical solid under the action of circular line loads and circular, or ring,distributed loads on the boundary plane is studied. Using Hankel transformation, formulae of all stresses and displacements at an arbitrary point in the half-infinite solid are given in the form of the complete elliptic integrals. Particularly, on z=0 plane and symmetric axis r=0, all stresses and displacements can be obtained. Finally, operations and results of several integrals are also given, and some cases studied in the paper are discussed.