An organic EL display device and a method of producing the same wherein superior connection reliability can be obtained between a thin film transistor and a lower electrode of an organic EL element even if a color-converting medium is provided adjacent light-emitting face of the organic EL element. For this purpose, in an active-driving type organic EL display device comprising an organic EL element made so as to have an organic luminous medium sandwiched between an upper electrode and a lower electrode, and a thin film transistor for controlling luminescence of the organic EL element, the luminescence of the organic EL element is taken out from the lower electrode, a color-converting medium is provided adjacent the lower electrode, and an inclined electrically connecting member is set between the lower electrode and the thin film transistor.