A method of brazing an aluminum or aluminum alloy material, containing brazing
an aluminum alloy brazing sheet that has an aluminum or aluminum alloy core material
and, being clad on one or both surfaces, a filler alloy layer comprised of an AlSi-based
alloy and contains Mg incorporated at least in a constituent layer except the filler
alloy layer, thereby to form a hollow structure whose one surface clad with the
filler alloy is the inner surface, wherein the brazing is carried out in an inert
gas atmosphere without applying any flux; and an aluminum alloy brazing sheet which
satisfies the relationship: (X+Y)a/60+0.5 and XY, wherein a (m)
represents the thickness of the filler alloy layer clad on the core material of
the inner side of the hollow structure, and X and Y (mass %) represent the Mg contents
of the core material and the brazing material, respectively.