Modern requirements for product quality in rolling production require increased accuracy of temperature control of rolls in the rolling zone. This is possible by controlling the temperature regime using a mathematical model of the thermal process in the roll caliber. Quite promising, from the point of view of reducing energy costs for strip production, is the use of continuous casting-rolling technology, which allows obtaining metal, in particular steel strip, as close in thickness as possible to the finished product. This significantly reduces the production cycle and the number of technological operations and required equipment. The purpose of this work is to build mathematical models of the temperature field of rolls during traditional strip rolling technology and a mathematical model of the temperature field of rolls during continuous strip casting-rolling technology (technology using roll crystallizers) and to develop methods for solving model problems. In the models presented in this paper, the authors tried to generalize and improve the mathematical models of thermal processes during rolling and continuous strip casting-rolling by setting more accurate boundary conditions. The models consider the different heat exchange between the internal and external surfaces of the roller with the strip and the outgoing roller core, as well as perfect thermal contact between the different roller layers. The constructed mathematical models, despite the fact that they describe various technological processes, make it possible to optimize and predict the cooling-heating parameters, as well as the service life of rolls in industrial conditions.