Machine for cutting slabs, comprising a workpiece support bench adapted to support at least one slab, and cutting means for automated cutting of the slab on the bench, wherein the cutting means comprises: two lateral support structures (16, 18); a first beam adapted to move along said lateral support structures (16, 18), said first beam being adapted to slide on the lateral support structures (16, 18) via its ends (22, 24) and guiding means (25, 26) provided on the lateral support structures (16, 18); said first beam being provided with a machining unit comprising a first carriage adapted to be moved along the first beam, a first sleeve adapted to be moved towards or away from the workpiece support bench being provided on said first carriage, and a first machining head comprising a first cutting spindle being provided on said first sleeve; characterized in that a second beam adapted to move along said lateral support structures (16, 18) independently of the first beam, said second beam being adapted to slide on the lateral support structures (16, 18) via its ends (221, 241) and guiding means (25, 26) provided on the lateral support structures (16, 18); said second beam being provided with a machining unit comprising a second carriage adapted to be moved along the second beam, a second sleeve adapted to be moved towards or away from the workpiece support bench being provided on said second carriage, and a second machining head comprising a second cutting spindle being provided on said second sleeve; in that at least either one of the first head and the second head is provided with a gripping device (42, 421) for the slabs or parts thereof; and in that each beam (20, 201) is provided with its own movement means. two lateral support structures (16, 18); a first beam adapted to move along said lateral support structures (16, 18), said first beam being adapted to slide on the lateral support structures (16, 18) via its ends (22, 24) and guiding means (25, 26) provided on the lateral support structures (16, 18); said first beam being provided with a machining unit comprising a first carriage adapted to be moved along the first beam, a first sleeve adapted to be moved towards or away from the workpiece support bench being provided on said first carriage, and a first machining head comprising a first cutting spindle being provided on said first sleeve; characterized in that a second beam adapted to move along said lateral support structures (16, 18) independently of the first beam, said second beam being adapted to slide on the lateral support structures (16, 18) via its ends (221, 241) and guiding means (25, 26) provided on the lateral support structures (16, 18); said second beam being provided with a machining unit comprising a second carriage adapted to be moved along the second beam, a second sleeve adapted to be moved towards or away from the workpiece support bench being provided on said second carriage, and a second machining head comprising a second cutting spindle being provided on said second sleeve; in that at least either one of the first head and the second head is provided with a gripping device (42, 421) for the slabs or parts thereof; and in that each beam (20, 201) is provided with its own movement means.