The application of cloud computing technology and the enterprise private cloud solutions are neither simply virtualization nor traditional hosting cloud service. Therefore, considering service viewpoint models of DoDAF V2.0 as the main view models, an enterprise cloud services architecture design framework was proposed based on SOA (Service Oriented Architecture) in order to enhance the information resources reusability, agility and faster time to the changing requirements of enterprise IT service systems. In the paper, the enterprise cloud service architecture design standard and enterprise cloud computing application context was established by research on the constraint relationship among service viewpoint models in DoDAF V2.0 and the analysis of mix cloud computing pattern to Service Oriented Architecture. Finally, a cloud application solution based on loose coupling SOA was presented to support the enterprise cloud service architecture design and the cloud computing application technique implementation.