The widespread application of food safety traceability system can not only reduce the cost of information acquisition for regulatory authorities and improve regulatory efficiency, but also force enterprises to raise safety awareness and actively control risks. However, due to the technical and management reasons of different food regulatory departments, regulatory data in the food supply chain was scattered, there was a lack of trust between regulatory domains, and data sharing was difficult. In response to the above issues, a cross trust domain supervision data sharing method for the food supply chain was proposed by utilizing the decentralized and tamper proof advantages of blockchain technology in identity verification and permission management. Firstly, cross domain identity authentication was achieved by introducing the Schnorr signature algorithm. Secondly, an attribute mapping mechanism was added to attribute-based access control (ABAC) to achieve dynamic fine-grained access control of food supply chain traceability and supervision data. Finally, a prototype system for cross domain secure transmission of food supply chain was developed based on Hyperledger Fabric, and performance testing was conducted. The results showed that when the transaction load was 300, the minimum delay for policy writing in the cross domain supervision data sharing method was 0.56s, and the maximum throughput was 113 transactions per second. When the transaction load was 600, the minimum delay for policy decision-making was 0.01s, and the maximum throughput was 414 transactions per second. The cross domain regulatory data sharing method proposed had good performance, providing methods and ideas for achieving cross domain sharing of food supply chain regulatory data.