<p>A number of onshore and offshore infrastructures such as highways, airports, railways, silos or tanks, tidal embankment and ocean banks are built on soft ground soil which reveals a long-term creep deformation in many cases. Moreover, the operation process of those infrastructures induces complicated cyclic loadings on the ground soil. However, the effects of cyclic loadings on the ground soil considering the creep deformation remain insufficiently understood due to limited research efforts. This paper presents analytical solutions for one-dimensional (1D) consolidation of viscoelastic saturated soil under various cyclic loadings by adopting the fractional derivative Burger model. The analytical solutions are verified by comparing the degenerated solutions with the solutions in literature. The parametric study is conducted to investigate the influences of different factors on the 1D consolidation behavior of the viscoelastic saturated soil under various cyclic loadings. The results demonstrate that the fractional order of the model, the cyclic loading parameters and the rheological parameters have significant influences on the consolidation rate and the ultimate degree of consolidation of the soil under the cyclic loadings. These findings provide a quantitative basis for assessing the long-term deformation and the stability of the infrastructure ground subjected to various cyclic loadings.</p>