A method and system are disclosed for modeling non-deterministic queues for efficient model checking. In this method and system, a multitude of messages are held in a plurality of queues, and these messages having n priorities. The method comprises the steps of providing (n+1) queues, including a first queue, and n priority queues; passing said messages from a source to the first queue; passing each of said messages from the first queue to one of said n priority queues based on the priority of the message; and passing each of said messages from the n priority queues to a destination based on the priority of the message. One or more non-deterministic waits are introduced into one or more of the passing steps to simplify passing the messages into or out of the n priority queues.