The aim of this work is the identification of an analytical model to study the dynamic behaviour of a stone column, either monolithic or multiblock, excited by a sine wave ground motion. It is demonstrated that the motion can be described by a family of forced damped Hill’s equations. The operative limits of the model in relation to the problem are shown and discussed; in fact, the system exibihits some kind of unpredictability. In any case, criteria for a stability analysis of the motions are given.