A vibrating apparatus for dimensional stabilization treatment of fabrics comprises a fabric-containing tub (2), a vibration-generating slider-crank mechanism (3) and a support mechanism (4) for supporting the tub (2) and transferring the vibrations produced by the generating mechanism (3). The tub (2) is made of carbon fiber and the mechanism (4) for supporting and transferring vibrations comprises at least three rocker arms (12), each having one end hinged to the tub (2), the other end hinged to a counterweight (6) located opposite to the tub (2) and being hinged in the middle to a load-bearing structure (16).