Cloud storage auditing technique helps to verify the data integrity in the cloud on behalf of the user. Earlier researcher proposed many techniques on the cloud auditing, but it still lags in computational overhead for the resource constraint users. In this research, the Diffie-Hellman method is used to exchange the key in the Third Party Auditor (TPA) to improve the performance of the auditing method. The key is generated in the third party auditor and this is shared with the user as an encrypted key. The Diffie-Hellman creates the shared encryption key between the two parties and can be communicate in the insecure channel. The Diffie-Hellman generates ephemeral keys and this is extremely fast in generating new key pairs. This method is suitable for the big server and have more efficiency over the state-ofart method, which doesn't involve in ephemeral key generation. The proposed method is evaluated in the simulated environment and compared with the other state-of the art methods. The verification cost of the proposed auditing method has achieved 1.1 s, while the existing method has 1.19s.