The main purpose of induction heating installations in production lines for hot working of metals is to provide the required workpiece temperature prior to subsequent process stages. This article discusses induction heating as a process under optimal control. It provides information on the mathematical models of a heating process, cost criteria, and requirements for the final temperature distribution within heated workpieces. Control inputs, constraints, disturbances, and statements of optimal control problem of induction heating processes are reviewed. The article also discusses the basics of an optimal control method for solving a wide range of optimization problems. It examines typical optimal control problems for static induction heating of metals prior to hot forming and for progressive and continuous heating modes based on the method of parametric optimization. The article concludes with information on the combined optimization of technological processes in a complex hot metal forming operation.