The program COMPASS can generate samples that have been collected at various points in time from a population that is evolving according to a Wright-Fisher model. The samples are generated using coalescence simulations permitting various demographic scenarios and the program uses an infinite sites model to generate polymorphism data for the samples. By generating serially sampled population-genetic data, COMPASS allows investigating properties of polymorphism data that has been collected at different time points, and aid in making inference from ancient polymorphism data.