Based on the object and the event context involved with Internetware, and the whole lifecycle of them, this paper studies the architecture and the supporting system of Internetware in a contextdriven way to support selfadaptation and selfevolution for service entities. While the detail of the context of service entities having interaction and collaboration relationship on the Internet is analyzed, a context ontology for the Internetware is proposed firstly. Then the architecture of Internetware based on context awareness is given, and the mechanism for the Internetware to aggregate on demand and evolve dynamically under this architecture is described. Combined with the runtime features and the elements of service entities, the design of the supporting environment in the above application scenes is also given in this paper. Finally, an implementation based on OSGi service platform is given.