Method for determining laser machining parameters for the machining of a material using a laser machining system comprises the following steps: a) providing said central unit with a learning machining function capable of learning on the basis of said plurality of machining data samples, said learning machining function comprising an algorithm capable of defining the following laser machining parameters for said machining result sought and for said machining system: a polarization, an pulse energy Ep, a diameter at the focal point w, a Gaussian order p, a pulse repetition rate PRR of pulses n, a wavelength; b) making said learning machining function to learn so as to said laser machining system can machine said material to be machined according to the machining result sought.