The increasing need for improved medical and healthcare monitoring systems is paramount in the current healthcare environment. This need is propelled by the continuously growing quantity of patient data, the imperative for instantaneous information, and the crucial significance of data security. The Internet of Medical Things (IoMT) has been recognized as an essential technology for addressing healthcare requirements via the seamless integration of medical devices, sensors, and healthcare systems. Nevertheless, the effective administration and safeguarding of the extensive and delicate data produced by the IoMT present significant obstacles. The current methodologies often need to be revised to deliver holistic resolutions to these difficulties. To tackle these concerns comprehensively, the research proposed Optimized Data Management and Secured Federated Learning (ODMSM-FL), incorporating blockchain provenance. ODMSM-FL has been specifically developed to address the unique requirements of the IoMT via several capabilities, including decentralized data administration, federated learning, and solid security mechanisms based on blockchain technology. The system enhances data management capabilities, facilitating the adequate storage, retrieval, and exchange of medical data while safeguarding data privacy and maintaining data integrity. This study reports a set of numerical findings about essential performance metrics: transaction throughput (102.75 Kbps), block processing time (42.28 ms), data retrieval latency (64.02 ms), convergence rate (77.53 %), security (88.97 %), and accuracy (86.32 %). The findings prove that ODMSM-FL surpasses current methodologies, showcasing its exceptional capacity to improve data management, security, and overall performance within IoMT applications. The findings underscore the considerable potential of ODMSM-FL in effectively tackling the urgent data management and security issues in the IoMT, eventually making valuable contributions to the progress of healthcare systems and the enhanced welfare of patients.