The paper describes the core heating of ACSR (aluminum conductor steel—reinforced) conductor in stable operation under different environmental conditions. The calculations are greatly simplified in a steady state—we can calculate on a balance of power instead of a balance of energies. At a known surface, the temperature of the conductor due to solar radiation, natural convection, and joules heating as well as the temperature of the steel core were calculated, which is relevant for the tensile strength of the rope. Measurements of the surface of the conductor and the core rejected a simple model of heat transfer—it is also necessary to take into account empty air spaces between the wires of a rope. On the basis of measurements, a new model has given satisfactory compliance with the measured values.