The invention relates to an electronic display device having an electroluminescent screen and to its manufacturing method. This device includes a substrate (2) coated with a matrix of pixels, each pixel formed by an organic emitting structure (5) intermediate between two electrodes, one (3) near and the other (4) far, relative to the substrate respectively, an electrically insulating resin (7) covering the substrate between the respective near electrodes of the pixels and furthermore extending onto a peripheral edge (3a) of each near electrode. Each pixel incorporates at least one auxiliary electrode (8) having a work function identical or substantially identical to that of the near electrode, and which extends inclinedly on the surface of the resin and facing said edge, from the near electrode towards the far electrode, so as to maximize the emission area of each pixel.