4G network or Heterogeneous wireless access network will integrate existing wireless access technologies (e.g. 2G, 3G, WiMAX, WLAN, etc…) in order to provide, transparently, end-users with the “best” service through connecting their mobile devices at any time to the best available radio network. In that context, mapping the QoS classes between these different access networks becomes a big challenge. In this paper, we propose a method of mapping between the CoS of UMTS and QoS categories of WiMAX in a tight coupling architecture of Heterogeneous Wireless Access Network (HWAN)