The invention relates to a method for certificateless cross-domain authentication in a credible cloud computing environment and belongs to the technical field of cloud computing safety. According to the method for certificateless cross-domain authentication in the credible cloud computing environment, the certificateless public key cryptography technology is introduced into cross-domain authentication, credible cross-domain authentication is achieved in the process of credible cloud computing, a certificateless public key cryptosystem is applied, the problem of the certificate maintenance expense of a traditional digital certificate authentication system and the problem of private key trusteeship of a public key cryptography system based on the identity are solved. According to the method for certificateless cross-domain authentication in the credible cloud computing environment, a user public key is generated based on the identity, a part of a private key of a user is generated by the user, and the other part of the private key of the user is generated by a center authentication server. According to the method for certificateless cross-domain authentication in the credible cloud computing environment, a certificate system is abandoned, the expense of the authentication system is reduced, the private key of the user is protected at the same time, bilinear pairing computation is applied to the certificateless public key cryptosystem, it is proved that a safety hypothesis based on bilinear pairing computation is high in safety, the certificateless public key cryptosystem is used for identity authentication and session key negotiation, and therefore it is ensured that the system is high in safety.