A method for laminating a protective screen on a flexible display support, in particular an electronic panel, comprising the steps of: a) Providing a transparent or translucent protective screen having a curved three-dimensional shape; b) Providing a flexible display support having a curved three-dimensional shape substantially identical to that of the protective screen and, preferably, covered at least partially by a film of glue; c) Positioning and fixing the protective screen on a lower portion of a matrix, the matrix further comprising an upper portion equipped with an elastically deformable punch, said lower and upper portions (11, 12) being assembled together so as to be able to be displaced relative to each other along a displacement direction, guide means (15, 16) capable of ensuring the guidance in translation of the upper portion and/or the lower portion along said displacement direction, and damping means arranged between the lower portion and the upper portion, said damping means being intended to maintain said lower and upper portions (11, 12) at a distance; d) Positioning and fixing the display support on the upper portion of the matrix, said display support being positioned so that it rests on a curved outer surface of said punch, said outer surface then having a three-dimensional shape slightly different from that of the display support; e) Optionally, depositing glue on the display support in the case where the display support is not already covered with a film of glue; f) Translational displacing along the displacement direction the upper portion and/or the lower portion of matrix, in which the protective screen and the display support are not in contact with each other initially and such that the upper portion of the matrix is able to come closer to the lower portion of the matrix under the effect of downward pressure on the upper portion of the matrix; g) Bringing together the lower and upper portions (11, 12) of the matrix until at least one point contact is created between the protective screen and the display support; h) Gradually bringing closer the lower and upper portions (11, 12) of the matrix so that the contact surface between the protective screen and the display support gradually increases until a maximum value is reached corresponding to a fully laminated configuration of the assembly formed by the protective screen and the display support, the outer surface of the punch then having a three-dimensional shape substantially identical to that of the display support. a) Providing a transparent or translucent protective screen having a curved three-dimensional shape; b) Providing a flexible display support having a curved three-dimensional shape substantially identical to that of the protective screen and, preferably, covered at least partially by a film of glue; c) Positioning and fixing the protective screen on a lower portion of a matrix, the matrix further comprising an upper portion equipped with an elastically deformable punch, said lower and upper portions (11, 12) being assembled together so as to be able to be displaced relative to each other along a displacement direction, guide means (15, 16) capable of ensuring the guidance in translation of the upper portion and/or the lower portion along said displacement direction, and damping means arranged between the lower portion and the upper portion, said damping means being intended to maintain said lower and upper portions (11, 12) at a distance; d) Positioning and fixing the display support on the upper portion of the matrix, said display support being positioned so that it rests on a curved outer surface of said punch, said outer surface then having a three-dimensional shape slightly different from that of the display support; e) Optionally, depositing glue on the display support in the case where the display support is not already covered with a film of glue; f) Translational displacing along the displacement direction the upper portion and/or the lower portion of matrix, in which the protective screen and the display support are not in contact with each other initially and such that the upper portion of the matrix is able to come closer to the lower portion of the matrix under the effect of downward pressure on the upper portion of the matrix; g) Bringing together the lower and upper portions (11, 12) of the matrix until at least one point contact is created between the protective screen and the display support; h) Gradually bringing closer the lower and upper portions (11, 12) of the matrix so that the contact surface between the protective screen and the display support gradually increases until a maximum value is reached corresponding to a fully laminated configuration of the assembly formed by the protective screen and the display support, the outer surface of the punch then having a three-dimensional shape substantially identical to that of the display support.