The main objective of this research work propose a blockchain-based hybrid encryption technique for e-Health systems. In a permissioned blockchain, maintaining privacy can be a challenging task because all data are accessible to network members. Hence permitting, sharing and storing health data in a reasonably secured manner with full privacy is essential, besides giving the owner full control of data. In this direction, the proposed hybrid encryption technique was designed in such a way that it encrypts not only the content but also provides a privacy key for preventing anonymous viewing and retrieval. Hence, the proposed system permits sharing the of content from health owners to healthcare providers when the need arises. The proposed HIE system leverages a cutting-edge double-blind symmetric AES and asymmetric encryption RSA architecture. The proposed architecture combines the efficiency of AES-256 symmetric encryption with the robust security of RSA-2048 asymmetric encryption to create a dual-layered approach. The double-blind nature of the architecture ensures mutual concealment between AES and RSA layers, preventing information leakage and bolstering security. Key components include secure key exchange using RSA and digital signatures for data integrity verification. AES symmetric encryption efficiently safeguards patient health records during transmission and storage. RSA asymmetric encryption facilitates secure key exchange, ensuring that only authorized entities can access and decrypt the data. Digital signatures generated by the RSA layer verify the integrity and authenticity of shared health records. The performance of the proposed system was tested with EHRs using standard metrics and the results are compared with two existing benchmark schemes. The results prove that the proposed hybrid encryption technique achieves the privacy of healthcare users in the e-Health systems.