The invention relates to a credible data access control method applied to cloud storage of mobile devices. The credible data access control method includes six steps including user registering, user login, secret key generation, data encryption uploading, data downloading and decryption in three stages. The first step is user registering, the second step is user login with an authentication process, the third step is encryption secret key generation, the fourth step is user data encryption uploading, the fifth step is secret key sharing among the multiple mobile devices, and the sixth step is data downloading and decryption. According to the credible data access control method, transmitting of a credible chain in the secret key exchanging process is guaranteed by a user through a mobile TPM chip, the length of a secret key is reduced through encryption based on a elliptic curve, it is guaranteed that the multiple mobile devices can safely share the secret key, compared with a traditional server terminal or client terminal data encryption method provided by a cloud storage service provider, the credible data access control method is safe, reliable, high in confidence degree and small in interaction data amount, and the good practical value and the wide application prospect are achieved in the technical field of cloud storage safety.