The Coordinated Hybrid Agent (CHA) framework for the control of Multi-Agent Systems (MASs) has been used to model both the homogeneous and the heterogeneous multi-agent systems. In this framework, the control of the MASs is regarded as a decentralized control and coordination of agents. The CHA framework is able to implement coordination tasks for multi-agent systems. In this study, the stability of MASs modelled by the CHA framework is studied. Because each CHA can be regarded as a discrete event system (DES), we define the stability of CHA systems in the sense of Lyapunov as a logical DES. The necessary and sufficient conditions for CHA systems are presented.