Quality of Service (QoS) is a major issue in the recent and current developments of telecommunication networks, notably in the ATM-based B-ISDN or the emerging QoS-capable IP networks. As in most cases IP runs over ATM, translation of QoS between them, through the translation of their respective Performance Parameters (PPs), is central to the overall end-to-end performance and is the focus of this framework. We specifically set the end-to-end path which encompasses the major entities of the system, identify the layers of concern and their mechanisms, define inter-protocolar, inter-layer PPs and discuss relevant issues related to their translation between the protocols as well as between the layers, and relate them to the overall end-to- end QoS in IP and ATM.