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Services composition technology provides a promising way to create a new service in services-oriented architecture (SOA). However, some challenges are hindering the application of services composition. One of the greatest challenges for composite service developer is how to select a set of services to instantiate composite service with quality of service (QoS) assurance across different autonomous region (e.g. organization or business). To solve QoS-aware Web service composition problem, this paper proposes a global optimization selection (GOS) based on prediction mechanism for QoS values of local services. The GOS includes two parts. First, local service selection algorithm can be used to predict the change of service quality information. Second, GOS aims at enhancing the run-time performance of global selection by reducing to aggregation operation of QoS. The simulation results show that the GOS has lower execution cost than existing approaches.