Abstract: Studies of the deformation instability process of the suction anchors with taut mooring system under the coaction of the static and cyclic loads in soft clays have been made in the paper. The model test results for the suction anchors subjected to the static and cyclic loads are predicted by the pseudo-dynamic viscoelastic plastic finite element method,and the feasibility of this method is verified. Furthermore, the visco-elastic model represents cyclic deformation response and the creep model describes a cyclic accumulative strain response of soil elements in analysis of procedure which considers effects of the dynamic loads history. Based on ABAQUS finite element software, this paper presents the pseudo-dynamic visco-elastic plastic finite element method by use of the pseudo-dynamic viscoelastic plastic constitutive model, which can not only describe the cyclic dynamic response of clay, but also represent the cyclic accumulative process of deformation of the suction anchors. The procedure by which the dynamic iterative calculation is combined with the cyclic accumulative deformation calculation is compiled by the Python language, and finally the cyclic deformation and cyclic accumulative deformation are calculated without tracking the cyclic loads in the ABAQUS environment.