A method for rolling metal sheets with variable thickness, the method including: - determining a first distribution of first areas (A1, A2; M1, M2) having an increased thickness with respect to a nominal rolling thickness of the sheet, said first distribution of first areas including one or more first areas (A1, A2; M1, M2), - determining, for each first area (A1, A2; M1, M2) of said first distribution, an increase of volume of material (ΔV' i) corresponding to the difference between the volume of material underlying each first area with the thickness assigned on the basis of said first distribution (V' i), and the volume of material underlying the corresponding first area with the nominal rolling thickness (V0' i), - determining a second distribution of second areas (N1, N2; N1, N3; N1) having an increased thickness with respect to the nominal rolling thickness, wherein said second distribution of second areas includes one or more second areas (N1, N2; N1, N3; N1), - assigning, to each second area of said second distribution (N1, N2; N1, N3; N1) an increase of volume of material (ΔV" i) corresponding to the difference between the volume of material (V" j) underlying each second area with the thickness assigned on the basis of said second distribution, and the volume of material (V0" j) underlying the corresponding second area with the nominal rolling thickness, wherein the overall increase of volume (ΔV" TOT) of the one or more second areas of said second distribution (N1, N2; N1, N3; N1) is equal or higher to the overall increase of volume (ΔV" TOT) of the one or more first areas of said first distribution (A1, A2; M1, M2), - positioning the one or more first areas of said first distribution (A1, A2; M1, M2) along said sheet in a desired position within a figure that corresponds to a plane development of a component (H, D) of a motor-vehicle which is to undergo a pressing operation, - positioning the one or more second areas (N1, N2; N1, N3; N1) of said second distribution outside of said figure, - providing a pair of mill rolls having a surface relief that corresponds, developed on a plane, to the combination of the first and the second distribution of areas with increased thickness, and rolling said metal sheet by means of said pair of mill rolls. - determining a first distribution of first areas (A1, A2; M1, M2) having an increased thickness with respect to a nominal rolling thickness of the sheet, said first distribution of first areas including one or more first areas (A1, A2; M1, M2), - determining, for each first area (A1, A2; M1, M2) of said first distribution, an increase of volume of material (ΔV' i) corresponding to the difference between the volume of material underlying each first area with the thickness assigned on the basis of said first distribution (V' i), and the volume of material underlying the corresponding first area with the nominal rolling thickness (V0' i), - determining a second distribution of second areas (N1, N2; N1, N3; N1) having an increased thickness with respect to the nominal rolling thickness, wherein said second distribution of second areas includes one or more second areas (N1, N2; N1, N3; N1), - assigning, to each second area of said second distribution (N1, N2; N1, N3; N1) an increase of volume of material (ΔV" i) corresponding to the difference between the volume of material (V" j) underlying each second area with the thickness assigned on the basis of said second distribution, and the volume of material (V0" j) underlying the corresponding second area with the nominal rolling thickness, wherein the overall increase of volume (ΔV" TOT) of the one or more second areas of said second distribution (N1, N2; N1, N3; N1) is equal or higher to the overall increase of volume (ΔV" TOT) of the one or more first areas of said first distribution (A1, A2; M1, M2), - positioning the one or more first areas of said first distribution (A1, A2; M1, M2) along said sheet in a desired position within a figure that corresponds to a plane development of a component (H, D) of a motor-vehicle which is to undergo a pressing operation, - positioning the one or more second areas (N1, N2; N1, N3; N1) of said second distribution outside of said figure, - providing a pair of mill rolls having a surface relief that corresponds, developed on a plane, to the combination of the first and the second distribution of areas with increased thickness, and rolling said metal sheet by means of said pair of mill rolls.