An organic EL display device including a substrate, a transparent electrode, a luminescent layer, and a metal electrode layer in this order from a light emission side, a circularly polarizing plate disposed on the light emission side of the substrate, the circularly polarizing plate including a polarizing film and phase difference films that stacked on each other. The phase difference film includes a resin composition (A) containing polystyrene-based polymer having a syndiotactic structure and polyarylene ether, a ratio of the polystyrene-based polymer having the syndiotactic structure with respect to the polyarylene ether in the resin composition (A) is 65:35 to 55:45, being a weight ratio of (the polystyrene-based polymer having the syndiotactic structure) with respect to (the polyarylene ether), the phase difference film satisfies a relation Re450