Education has been gradually expanded, and each of a component of the education has changed slowly. It is becoming completely associated with the Information Technology on the data exchange, communication and collaboration. Cloud computing as combination of existed technology is a model for enabling convenient, on-demand network access to a shared pool of configurable computing resources. The education based on cloud computing it provides a new solution to establish a unified, open and flexible network teaching platform and reduce the hardware input. In this paper, we research the definition of cloud computing, discuss the main existed cloud provider in the world such as Microsoft, Google, Amazon, IBM and so on, analyze the development of the cloud computing in education, propose a new E-learning architecture based on private cloud, present the expected benefits from the proposed architecture. The education institution can use from the cloud computing provider to increase the benefits of students, teachers and administrators through the E-learning architecture.