To provide a method for producing, in high yield, an aluminum alloy brazing sheet bar suitably used as heat exchanger tube material for automobile, etc., and having high strength after brazing heating and excellent corrosion resistance.

An aluminum alloy, having a composition consisting of, by weight, >0.2-2.5% Si, >0.05-2.0% Fe, >0.7-2.5% Cu, >0.05-2.0% Mn, and the balance aluminum with inevitable impurities, is used as a core material. One side of this core material is clad with a sacrificial material composed of an aluminum alloy having a composition consisting of, by weight, >1.5-6.0% Zn, >0.05-2.5% Mg, and the balance aluminum with inevitable impurities at 5-30% coating rate. Further, the other side is clad with a brazing filler metal composed of aluminum alloy. By this method, the brazing sheet bar of three-layer structure is produced. At this time, the draft at a sheet thickness ≥60% of the thickness before starting of rolling is regulated to 1.0-5%, and also the draft at a sheet thickness 30-<60% of the thickness before starting of rolling is regulated to 5-15%.