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In cloud environments, users store their data or files in cloud storage but it is not infinitely large. In order to reduce the requirement of storage and bandwidth, data deduplication has been applied. Users can share one copy of the duplicate files or data blocks to eliminate redundant data. Besides, considering the privacy of sensitive files, the users hope that the cloud server cannot know any information about those files. They often use certain encryption algorithms to protect the sensitive files before storing them in the cloud storage. Unfortunately, previous schemes have a security problem. These schemes did not satisfy semantic security. In this manuscript, we propose a hybrid data deduplication mechanism which provides a practical solution with partial semantic security.