The analytical solution is presented to one dimensional viscoelastic consolidation problem of soft clay with impervious boundaries and pervious boundaries under cyclic loading that has been Fourier expanded. The influence of some parameters

such as permeability coefficient

viscosity coefficient and elastic modulus

etc. and different constitutive relation conditions on the consolidation is investigated. It is shown that the effective stress reaches the stabilized state in the end with certain amount of cycles. The rheological feature of saturated clay mainly functions in the intermediate and long-term stage of consolidation.