To provide a brassiere framework and a brassiere without a back band or shoulder straps, having good air permeability, allowing no sweat to permeate, having no risk of falling and slippage even by sweating or hard exercise and holding the bust beautifully for a long time.

This brassiere framework has at least a shape-memory material plastic or titanium alloy elastic solid under belt of an oval circumference shape with a missing part, two elastic solid cup wires around the lower part and a sucker formed with a plurality of slip resistant recessed parts.