A dismantlable anechoic chamber for sound attenuation includes a number of interconnected panels. The panels have a groove around their edges. The spaces produced by the corresponding grooves at contacting edges of adjacent panels are occupied by battens. The panels have a sandwich-type structure, in which a layer of sound-attenuating material is positioned between the two main faces of the panel. There is dimensional interference between the battens and the panels. The chamber has, on its internal face, an additional sound-attenuating layer. This sound-attenuating material is a foam-like material. The batten has an intermediate layer of sound-attenuating foam material.