The machine (1) for grinding sheet-like elements, particularly tiles and slabs made of ceramic material, natural stone, glass or the like, comprises a base framework (2), means (3) for advancing at least one sheet-like element (4) on a movement plane (A) along an advancement direction (B), the sheet-like element (4) being provided with a pair of opposite first sides (5) to be ground and a front side (6) transversal to the first sides (5) and defining the advancement front of the sheet-like element, means (10) for machining the first sides (5) adapted to intercept the sheet-like element (4) in the motion thereof along the advancement direction (B), means (11) for square-positioning the sheet-like element (4) on the movement plane (A) comprising at least one abutment element which defines at least two support points adapted to contact the front side (6) for arranging it in a position orthogonal to the advancement direction (B).
