A method for automatically correcting the systematic errors in measurement machines and in manufacturing machines, comprising: identifying the parametric mathematical model of the machine, initially assigning, to the parameters, numerical values close to the effective values, effecting a plurality of mutually independent distance measurements, determining the differences between the experimentally measured values and the corresponding values deduced from the provisional mathematical model, to define a provisional inaccuracy index of the machine, varying said parameters to improve the inaccuracy index, proceeding iteratively to obtain the definitive mathematical model of the machine, obtaining from said mathematical model the position and possible orientation errors of the final machine member, and utilizing the error data to execute the correction.