A differential form of 1-D creep model, proposed by Bjerrum in 1967, which was later modified for transient loading conditions is extended to multi-dimensional (2-D and 3-D) state of stress and strain by incorporating concepts of visco-plasticity (Vermeer et al., 1998). The devised creep models take into account both volumetric creep strain and deviatoric creep strain, and creep deformation of soil is defined by several material parameters. The model is incorporated as a plane strain element subroutine in a non-linear, time-incrementing finite element program. The model enables the solution of complicated foundation-soil interaction problems involving creep of soil. Numerical analyses are conducted using published experimental data and parametric studies are conducted to evaluate the sensitivity of different input parameters of the model.