Effective numerical models of induction heat treatment are developed. They include two-dimensional modeling of coupling electromagnetic and temperature fields in cylindrical systems for processing of tubes and rolls. Also thermal tension during heating and cooling of tubes and rolls are simulated. These data allow defining structure, hardness, the size of grain and other properties of the tubes and rolls. They allow optimizing design and a choice of equipment, a heat treatment mode for the purpose of achievement of the maximum quality and minimization of energy consumption. The developed two-dimensional models were used not only for the design of induction heat treatment systems of tubes and rolls, but also for a digital control of these complexes.