Sandwich composites with polymer foam core are currently used in load-bearing components in buildings and naval structures due to their high strength to weight and stiffness to weight ratios, excellent thermal insulation, and ease of manufacturing. During their service time, sandwich composites are exposed to various external mechanical and hygro-thermal stimuli. It is known that the constituent properties of the sandwich composites are greatly influenced by the temperature and moisture fields. Granville [1] conducted experiments to study the effect of moisture on structural, dimensional stability, weight gain and peel strength of sandwich composites. Morganti et al. [2] analyzed the effect of moisture on the dimensional stability of the sandwich composites and concluded that moisture affects the physical behavior of the composite directly by modifying its structural characteristics such as matrix degradation and microcracks between fiber and matrix etc. However, the effect of moisture on the deformations in the sandwich composite with the viscoelastic foam cores has not yet been studied. The time-dependent response of the sandwich composite (due to the viscoelastic foam core) is aggravated in the moist environment conditions. Thus, it becomes necessary to analyze the effect of moisture on the overall response of the sandwich composites.