This thesis describes a way of modeling viscoelasticity in deformable solids for interactive haptic and display purposes. The model is based on elastostatic deformation characterized by a discrete Green’s function matrix, which is extended using a viscoelastic add-on. The underlying idea is to replace the linear, time-independent relationships between the matrix entries, force, and displacement with non-linear, time-dependent relationships. A general framework is given, in which different viscoelastic models can be devised. One such model based on physical measurements is discussed in detail. Finally, the details and results of a system that implements this model are described.