A method of avoiding collisions between a robot and at least one other object, e.g. another robot is disclosed in which the user does not need to make any provisions in a robot program for avoiding collisions, e.g. defining common work-areas. Furthermore, the inventive method allows for automatic configuration of the workcell from a collision avoidance standpoint. It determines automatically which components have potential collisions with which other components. Since the inventive method is based on predicting the configurations of the moving components over a period of time sufficient enough to allow the machines to stop safely and checks for interference, a priori knowledge of trajectories is not required. If a collision is predicted the machines are commanded to a stop on or off their paths. In this way the inventive collision avoidance method can also be used as a safeguard with other explicit methods.