For distributed multimedia applications, the development of adaptive QoS (quality of service) management mechanisms is needed to guarantee various and changeable end-to-end QoS requirements. In this paper, we propose an adaptive QoS management framework based on multi-agent systems. In this framework, QoS management mechanisms are divided into two phases, the flow establishment and renegotiation phase and the media-transfer phase. An adaptation to system resource changes and various user requirements is accomplished by direct or indirect collaborations of the agents in each phase. In the flow establishment and renegotiation phase, application agents determine optimal resource allocation with QoS negotiations to maximize the total users' utility. In the media-transfer phase, stream agents collaborate to adjust each stream QoS reactively. In addition, personal agents help a novice user to specify stream QoS without any a priori knowledge of QoS. To make the interworking of agents tractable, a QoS mapping mechanism is needed to translate the QoS parameters from level to level, since the expression of QoS differs from level to level. As an example of multimedia application based on the proposed framework, a one-way video system is designed. The experimental results of computer simulation show the validity of the proposed framework.