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Quality-of-service (QoS) in Web services encompasses various non-functional issues such as performance, dependability and security, etc. As more and more Web services become available, QoS capability is becoming a decisive factor to distinguishing services. The management of QoS metrics directly impacts the success of services participating in workflow-based applications. Therefore, when services are created or managed using workflows or Web processes, the underlying workflow engine must be able to estimate, monitor, and control the QoS rendered to customers. In this paper, we present an approach to give QoS of service composition based on a decomposing algorism and the numerical analysis of stochastic well-formed workflow (SWWF) models of web service composition.