This paper presents analytical solutions for an elastic medium due to stress release method using cylindrical measuring device. It is assumed that the medium is an anisotropic body, while other layers are isotropic. And various three-dimensional loadings are treated. Also, it is possible to exactly apply this theory to measurements by small-diameter overcoring. Therefore, this paper can be expanded past analytical studies which assumed large-diameter overcoring. In numerical calculations, effects of hardness of measuring device or overcoring radius on measurement results are discussed.