This paper deals with the Quality of Service (QoS) negotiation for multicast connections. First, we show that in the multicast case, the QoS parameters may be separated into two classes, namely the parameters whose scope is the whole multicast connection and those whose scope is limited to each receiver separately. Then, after a brief presentation of the enhanced QoS defined in the OSI95 transport service, we examine how the QoS negotiation schemes used in the peer-to-peer ISO and OSI95 transport services can be extended to multicast connections. Finally, a practical issue about QoS negotiation for multicast connections is presented.