A bladder for a vulcanizer includes, as a constituent member, a low elongation material with stable properties at vulcanization temperatures. During a vulcanization-molding process, the bladder is pressed against the inner surface of a green tire using a pressurized medium. The pressurized medium can be at vulcanization temperatures. The bladder has substantially the same shape as the inner wall surface of the tire that is formed using the bladder. As a result, irregularities in the shape of the inner wall surface of a tire rarely occur, and the frequency of exchange of bladders can be reduced. The vulcanizer bladder can include a conductive material or a magnetic material, both of which can be heated by using an induction heating coil. The use of both heat from the pressurized medium and heat generated in the bladder to vulcanize a green tire can shorten the period of time required for vulcanizing-molding.