This article proposes a concept for the development of a system for continuous remote monitoring of the health status of workers employed on offshore oil platforms based on IoT and e-medicine technologies. The concept is based on a person-centered approach to health management, which implies the inclusion of workers themselves as the main component in the management loop. This allows for continuous remote monitoring of vital health indicators of workers with their simultaneous “linking” to the context of the environment. A functional model of the phased implementation of the concept and architecture of a three-level geographically distributed intelligent health management system for workers employed on offshore oil platforms are developed. The IoT network infrastructure, in accordance with the purpose of each system level, is integrated into hierarchically distributed computing platforms: Dew computing, Fog computing and Cloud computing. One of the possible options for the implementation of the system in the context of structural components and computing platforms is proposed.