Today, as the informatization is developing speedily, Media Asset has been the core resources in the media industry. To solve the pressure of Media Asset storage, the building of the cloud Media Asset is unavoidable. But, there must be some new problems during the development process of the cloud Media Asset ,including security, efficiency and so on. In order to solve those problems, the author analyzes the feasibility of the Media Asset storage using big data technology. And then taking Shanghai Media Group for example, the author designs hybrid cloud architecture, combining private cloud with public cloud application and video encryption technology, as the distributed storage platform of cloud Media Asset. To improve the availability of the hybrid cloud architecture, the author designs an efficient and safe solution. Firstly, set up a data-exchange process between private cloud and public cloud. Secondly, proposing a data-exchange strategy based on the big data technology. Then, supply the self-adjusting function for the strategy by means of data mining. Finally, supply two totally different encryption for the two types of Media Asset data uploaded to the public cloud.