An interactive clothing system is one of the basic components of virtual reality. The clothing is implemented via design of two‐dimensional garment panels and putting the panels on an actor in a realistic way. We show how to ease this time consuming task by appealing to a hybrid cellular automaton as a parallel computing device. We draw our approach on a fact that the draping fabric bears a feature of natural parallelism. At a very short time scale behavior of any node point of a fabric depends only on the behavior of its closest neighboring node points. Therefore distant regions of the fabric can be simulated independently. Basing on the problem's natural parallelism we design two‐dimensional network of uniform locally connected hybrid automata that execute in parallel a particle model of draping behavior of clothes on a standing mannequin.