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Because the cloud computing environment is unreliable and the data contain valuable information, the direct use may lead to the burden on the computer, so it is necessary to recover the unreliable data in the cloud computing environment. Most of the current methods of copying unreliable data, use the address mapping layer assignment write new address, so unreliable data in a period of time still exists in the cloud storage, the protection is achieved in such a system, do not need to update the channel additional data storage information. The timestamp information is added to the mapping term of FTL through the outer zone record timestamp of FLASH, and the fast recovery of data is achieved without updating the mapping table each time. But this approach has a detrimental effect on the performance of cloud storage systems. Therefore, this paper proposes a method to calculate environment unreliable data recovery method based on tensor Tucker threshold cloud, first calculate the random secret key generator node environment generates a random session key using the cloud, and the unreliable data HMAC message authentication code is calculated, so as to realize the protection and reconstruction. On this basis, combining the unreliable data threshold decomposition process and singular threshold method, in order to get the threshold of Tncker operator, to achieve dynamic data recovery, similar n- rank tensor combined with Tucker threshold operator and the recovery process using augmented Lagrange multiplier method is chosen, no reliable data recovery method of Tucker threshold augmented Lagrange multiplier based on the proposed, completed under the cloud computing environment is not reliable data recovery. Experimental results show that the proposed method can effectively improve the accuracy of unreliable data recovery, reduce the energy consumption and time of data restoration, and has a strong feasibility. It provides a theoretical basis for the application of this topic.