Many reheating furnaces are provided with simulation models to enhance their performance in operation. With this objective it was developed a thermal simulation model for the heating of a continuosly moving strip within a furnace. The furnace is idealized as a enclosure having distributed along ti, flames having temperature, area and position previously defined. The flames provide heating energy by thermal radiation to the wall and strip surfaces, and by convection to the inner gas. This gas exchange heat by convection, with the strip and walls. The refractory walls are assumed to be adiabatic and were subdivided into isotermal zones. The strip was subdivided into control volume elements that are considered with constant temperature. Each strip elements exchange heat by conduction and entalpy transport through internal boundaries, due to its movement. A computational model was developed in order to obtain the field of temperature in the furnace (strip surfaces, refractory walls and gas). In addition, the model determines the power to supply energy for a given operational condition of the furnace and internal temperature distribuition in the strip.