The present paper firstly deals with the analysis of the displacement of viscoelastic material confined in a cylindrical mold under repeated load whose frequency is far less than the natural frequency of the test body, with an assumption of no friction between the test body and the mold, by means of finite Fourier-Hankel transform. Distortional deformation is modeled by a Voigt model and volumetric deformation is modeled by an elastic or Voigt model. In so doing, two viscoelastic models are formulated. As for the test, the surface displacement was measured for dried standard sand, sandy soil, cohesive soil and undisturbed Kanto loam. Then viscoelastic properties of the test materials confined in the mold are evaluated by means of nonlinear least squares method. In the case of applying Voigt model to both distortional and volumetric deformations, the analytical results agree well with the experimental ones.