An organic electroluminescence display device comprises a first substrate including a light emitting area comprising a first electrode, an organic electroluminescence layer and a second electrode stacked one over another and a second substrate including a connection layer for feeding a driving signal to the second electrode. The first substrate has a connection area in which a portion of the second electrode is off set vertically from the light emitting area and connected to the connection layer of the second substrate. The connection area does not overlie the light emitting area.