A process for producing a film roll of a heat-shrinkable polyester film comprising the steps of melt-extruding raw polymer into film, cooling the film, and drawing the film, or additionally rewinding the film into a roll between the cooling and the drawing, variations in surface temperature of the film measured at any point in a preheating step, a drawing step, and a heat-treating step after the drawing step, are controlled, respectively, in a range of ±1° C. relative to the average temperatures with respect to preheating, drawing, and heat-treating zones over an entire length of the film.