A tool machine for laser cutting of materials (25), comprising a support table for the materials (10), a main cutting unit (11), a control panel (12) integrated on the machine, remote controlled and managed by a PC, and a laser cutting head (13) connected to a cooling unit, and moveable on the table by means of a numerical control system, wherein the laser cutting head (13) is connected to an optical fiber laser generator (20); the laser cutting head (13) is also equipped with a system that automatically controls the height of the material surface (25) to be cut, as well as an optical fiber motion and protection system (20) which moves the laser beam (23) on the machine.