A cutting table (10) with differentiated suction for the stabilisation of the material (14) to be cut, comprises a surface having a planar extension divided into a plurality of sectors (12) and surmounted by a permeable cover (18) on which said material is laid, The cover (18) rests on an underlying rigid structure (20) provided with quadrangular indentations (22) corresponding to said sectors (12) along which two apertures are made (24-26) for the alternate suction of air at high and low pressure by means of respective pumps (34-34′). Each of said sectors (12) is divided into two zones respectively used for high and low pressure suction by means of the intervention of specific valve groups (50).