Nowadays individuals and companies choose to upload their data to Hadoops since the hadoop supports considerable data storage service but also efficient data processing capability. For example, in some smart grid scenario, a governmental surveillance authority may choose to supervise the electricity consumption of a local living district. A great amount of electricity consumed data of each family located inside the district will be automatically transferred to the authority via Internet period by period. The need of big data storage, therefore, is more desirable than ever. A basic security requirement of big data storage is to guarantee the confidentiality of the data. Fortunately, some existing cryptographic encryption mechanisms can be employed to fulfill the requirement. For instance, Public Key Encryption (PKE) allows a data sender to encrypt the data under the public key of receiver such that no one except the valid recipient can gain access to the data. Nevertheless, this does not satisfy all the requirements of users in the scenario of big data storage. In the Existing system, they cannot prevent some sensitive personal information from being leaked to the cloud server but also the public. This is because traditional encryption systems do not consider the anonymity of a ciphertext sender/receiver.