This Technical Report (TR) identifies the need for establishing a set of priorities for traffic over IP networks. It proposes that communincations services over IP networks be prioritized such that critical services have a higher probability of successful session set up and completion than other types of services. This report also identifies the need for signaling traffic priorities across IP networks and networks of different technologies - e.g., an originating ETS call over a Wireless circuit-switched access network transported over an IP backbone, with termination over a circuit-switched Wireless egress network. Traffic priority levels over the multiple technologies require mapping agreement, and appropriate signaling protocols will need to be developed such that these levels are recognized.