Cloud storage is one of the most widely used applications in cloud computing. It makes it convenient for users to access and share the data yet producing data integrity issues such as data corruption and loss. The existing remote data verification algorithms are based on the trusted third party who works as a public verifier to verify the outsourced data integrity. In this case, the verifier has a potential threat to provide false verification results, which cannot ensure the reliability of data verification. Especially, the situation can be even worse while the verifier is in collusion with the cloud storage providers. In this paper, we propose a check algorithm of incredible verification results in data integrity verification (CIVR) to resist the attacks of forgery and deception in incredible verification results. We utilize double verification proofs, i.e., integrity verification proof and incredible check proof, to execute the cross check. The integrity verification proof is to verify whether the data are intact. The incredible check proof is to check whether the verification results are correct. Moreover, the algorithm constructs the check tree to ensure the reliability of verification results. Theoretical analysis and simulation results show that the proposed algorithm can guarantee the reliability of verification results and increase the efficiency by improving the valid verification.