Method of manufacturing parts produced with a manufacturing device, where each part must satisfy an overall dimensional requirement on a specific dimension of said part, said overall dimensional requirement being akin to a tolerance stack-up comprising at least two dimensions, each dimension corresponding to a characteristic dimension of the part, in which: - the overall dimensional requirement is fixed so that the specific dimension of the parts has an average μ G and a standard deviation σ G in an overall area of acceptance constructed from one or more statistical criteria; - a reference dimension is selected from among the characteristic dimensions comprising the tolerance stack-up, wherein the selected reference dimension corresponds to the characteristic dimension having the least controllable manufacturing parameters from among the different characteristic dimensions forming the tolerance stack-up; and wherein in an automated way: - an average μ ref and a standard deviation σ ref of said reference dimension are calculated, with a calculation device, from a sample of parts taken from among the parts produced with the manufacturing device; - an area of acceptance for the other characteristic dimensions of the tolerance stack-up is calculated, with the calculation device, from the overall area of acceptance and from the average μ ref and the standard deviation σ ref calculated for the reference dimension, the area of acceptance being constructed with the statistical criteria or the same statistical criteria as the overall area of acceptance; - the manufacturing of parts without verification of the reference dimension is controlled, with a regulating device, by using the area of acceptance calculated for the other characteristic dimensions of the tolerance stack-up by adjusting the regulating parameters of the manufacturing device so that each of the other characteristic dimensions of the tolerance stack-up is included in the corresponding calculated area of acceptance. - the overall dimensional requirement is fixed so that the specific dimension of the parts has an average μ G and a standard deviation σ G in an overall area of acceptance constructed from one or more statistical criteria; - a reference dimension is selected from among the characteristic dimensions comprising the tolerance stack-up, wherein the selected reference dimension corresponds to the characteristic dimension having the least controllable manufacturing parameters from among the different characteristic dimensions forming the tolerance stack-up; and - an average μ ref and a standard deviation σ ref of said reference dimension are calculated, with a calculation device, from a sample of parts taken from among the parts produced with the manufacturing device; - an area of acceptance for the other characteristic dimensions of the tolerance stack-up is calculated, with the calculation device, from the overall area of acceptance and from the average μ ref and the standard deviation σ ref calculated for the reference dimension, the area of acceptance being constructed with the statistical criteria or the same statistical criteria as the overall area of acceptance; - the manufacturing of parts without verification of the reference dimension is controlled, with a regulating device, by using the area of acceptance calculated for the other characteristic dimensions of the tolerance stack-up by adjusting the regulating parameters of the manufacturing device so that each of the other characteristic dimensions of the tolerance stack-up is included in the corresponding calculated area of acceptance.