A Web service is a software system designed to support interoperable machine-to-machine interaction over a network. These systems may then interact with the Web service in a manner prescribed by its definition, using XML based such as SOAP, WSDL, UDDI messages conveyed by Internet protocols. Especially, UDDI is the Web Services Registry enabling to register and search Web Services, that takes charge of providing infrastructure for Web Services. However, the existing UDDI has a few problems that searching process is very simple and it cannot provide information of Web Services quality and quality-based retrieval. Therefore, this study suggest the Web Services quality description model that evaluates the Web Services quality.