Abstract: An abrasive water jet cutting machine including pumping means, which can be fluidically connected to a water source, for the generation of a pressurized water flow; a cutting head, forming a mixing chamber and a focusing nozzle; a dispensing system of powdered abrasive material, including a tank containing powdered abrasive material, a feeding pipe, fluidically connecting the tank to the mixing chamber of the cutting head, a dispenser, which dispenses the powdered abrasive material contained in the tank into the mixing chamber by means of the feeding pipe; wherein the pressurized water flow originating from the pumping means is conveyed into the mixing chamber of the cutting head where the pressure energy of the pressurized water flow is converted into kinetic energy so as to form a water jet; wherein the cutting head mixes, in the mixing chamber, the abrasive material with the water jet forming a water-abrasive material mixture jet, and the cutting head dispenses the water-abrasive material mixture jet by me