The author of the paper pays attention to the problem of safe computer use by students. Schoolchildrens work with computers has such negative factors as: eye strain, mental stress, physical stress associated with prolonged static muscles tension of a personal computer user. That is why it is so important to train teachers for health-corrective activities with students who work with a computer. In this paper the author proposes to consider the algorithm of teachers health-corrective activity management in connection with students educational work with computers. The author notes the following components of teachers health-corrective activity: subject, object, means, process, result, environment, conditions. The author defines management of teachers health-corrective activity. The paper contains an algorithm of teachers health-supporting activity management; the stages of this activity are defined in accordance with the management functions: designing, organization, regulation, control and accounting.