In a process for the fabrication of an organic EL display device having, on the surface of a substrate 1, a terminal electrode 3, a first electrode 2, an insulating layer 4 covering a portion of the first electrode 2, an organic functional layer 5 including a light-emitting layer, and a second electrode 6 including an interconnect layer 62, after forming the first electrode 2, the terminal electrode 3, and the insulating layer 4, a mask 8 for restricting the layer-forming region is placed on the substrate 1, then the organic functional layer 5 is formed, following which the interconnect layer 62 is formed by a process having a better step coverage than the process used to form the organic functional layer 5 such as to bring the interconnect layer 62 into contact with at least part of the terminal electrode 3. When the organic functional layer 5 and the second electrode 6 are formed in succession, the second electrode 6 and the terminal electrode 3 can be reliably connected without changing the mask 8. Moreover, the organic functional layer 5 and an "electrode layer 61 containing a low work function metal" within the second electrode 6 can be protected from moisture, oxygen, and organic solvents.