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To ensure the secure sharing of medical data in the electronic health record system, this paper presents a design study on a privacy encryption control system for health medical data based on blockchain technology. A client-server architecture is adopted, and a 4-layer hardware system based on blockchain technology is designed. In the software part of the system, a content extraction signature scheme based on certificateless public key cryptography is employed to achieve the design of privacy protection for health medical data. By utilizing blockchain technology, a data encryption access control method named MDACSC is proposed, block structure and chain storage structure are designed in this method, which integrates the post-order traversal policy tree matching algorithm and the classification and hierarchical attribute algorithm into the access control structure to improve the efficiency of access control. Additionally, an improved consensus mechanism is designed using the PoP-DPoS algorithm to determine the ownership of accounting rights, the encryption control method is optimized. Through experimental tests, the achieved results demonstrate that the proposed model has a lower growth rate of access delay, and it exhibits stable and efficient access control performance. The ciphertext size is small, and the encryption cost is low, while the decryption cost is extremely high. Furthermore, the data security coefficient reaches 0.98, indicating that the overall application effect of the system is good.