The rapid development of the Industrial Internet provides the infrastructure for the transformation of industrial digitalization, networking, and intelligence. Data circulation is the key to industrial intelligence, and its security issues have attracted widespread attention. The existing data sharing solutions suffer from high computational overhead and storage costs, and lack of support for cross domain access control. To address these issues and achieve secure and flexible sharing of industrial data, this paper proposes a fully outsourced ciphertext-policy attribute-based encryption (FO-CPABE) algorithm. Additionally, by integrating FO-CPABE, blockchain, and policy conversion technology, a secure and efficient cross-domain access control scheme is proposed. The scheme enables cross-domain data sharing while reducing user overhead. Cross domain data flow records are stored on the consortium chain to achieve traceability of cross domain access. Furthermore, FO-CPABE is provably secure based on the DBDH assumption under the standard model. The comparison between FO-CPABE and existing schemes demonstrates its superior performance in both theoretical analysis and experimental evaluation.