An automatic cutting method for laminated glass panes, which comprises the following steps: - advancing a laminated glass sheet from a loading station to a cutting station of a cutting machine along a substantially straight advancement axis which is parallel to the planar extension of said laminated glass sheet, said laminated glass sheet being constituted by two sheets of monolithic glass with at least one film of plastic material interposed between them; - simultaneously scoring the lower and upper surfaces of said laminated glass sheet according to at least one preset cutting profile by means of at least one of two mutually opposite cutting heads with a fixed axis and two mutually opposite scoring assemblies which are arranged, respectively, below and above said laminated glass sheet; said scoring assemblies being movable along a substantially straight cutting axis which is parallel to the planar extension of said laminated glass sheet and perpendicular to said advancement axis; - cutting in sequence of both of the scorings performed in said simultaneous scoring step; characterized in that it comprises: - a step of defining primitive profiles (X1, X2, X3, Y1, Y2) of the straight type which are oriented, respectively, in parallel to said advancement axis and to said cutting axis in order to define a grid inside the cells of which the contoured profiles (S1, S2, S3, S4) of the contour of said laminated glass sheet to be obtained are contained; - iterating said simultaneous scoring step and said cutting step for the scoring and cutting of said laminated glass sheet according to said primitive profiles (X1, X2, X3, Y1, Y2); - iterating said simultaneous scoring step and said cutting step for the scoring and cutting of said laminated glass sheet according to said contoured profiles (S1, S2, S3, S4); said preset cutting profile comprising said primitive profiles (X1, X2, X3, Y1, Y2) and said contoured profiles (S1, S2, S3, S4) and said simultaneous scoring step being obtained from the interpolation of the movements of said laminated glass sheet along said advancement axis and of said scoring assemblies along said cutting axis according to the geometry of said preset cutting profile; said scoring assemblies comprising scoring tools with a free axis which is oriented substantially perpendicularly to a horizontal worktable which contains said advancement axis and said cutting axis. - advancing a laminated glass sheet from a loading station to a cutting station of a cutting machine along a substantially straight advancement axis which is parallel to the planar extension of said laminated glass sheet, said laminated glass sheet being constituted by two sheets of monolithic glass with at least one film of plastic material interposed between them; - simultaneously scoring the lower and upper surfaces of said laminated glass sheet according to at least one preset cutting profile by means of at least one of two mutually opposite cutting heads with a fixed axis and two mutually opposite scoring assemblies which are arranged, respectively, below and above said laminated glass sheet; said scoring assemblies being movable along a substantially straight cutting axis which is parallel to the planar extension of said laminated glass sheet and perpendicular to said advancement axis; - cutting in sequence of both of the scorings performed in said simultaneous scoring step; - a step of defining primitive profiles (X1, X2, X3, Y1, Y2) of the straight type which are oriented, respectively, in parallel to said advancement axis and to said cutting axis in order to define a grid inside the cells of which the contoured profiles (S1, S2, S3, S4) of the contour of said laminated glass sheet to be obtained are contained; - iterating said simultaneous scoring step and said cutting step for the scoring and cutting of said laminated glass sheet according to said primitive profiles (X1, X2, X3, Y1, Y2); - iterating said simultaneous scoring step and said cutting step for the scoring and cutting of said laminated glass sheet according to said contoured profiles (S1, S2, S3, S4);