Needling machine intended to consolidate, by needling, a web of fibres, in particular a sheet of non-woven fabric, comprising a series of needle-field boards, each board having at least one respective needle field projecting from one face, called the needle face, of the board, means for making the web of fibres move in front of the needles of the boards of the series of boards and means for moving the needles back and forth in a direction transverse to the movement of the web, such that they pass through the web of fibres passing in front of them in one direction and then the other, the series of needle-field boards comprising at least a first board comprising a first needle field and a second board comprising a second needle field, the first needle field being arranged on the needle face of the first board according to a first needle face pattern and the second needle field being arranged on the needle face of the second board according to a second needle face pattern, characterised in that the first needle face pattern is such that it cannot be superimposed on its image by a 180° rotation relative to an axis parallel to the direction of the needles and/or of movement of the needles, and the second needle face pattern is identical to the first needle face pattern, but is rotated by 180° relative thereto, relative to an axis parallel to the direction of the needles and/or of movement of the needles.