A curved-surface OLED display device with fingerprint identification includes a substrate, a thin film transistor layer, a pixel electrode layer, an OLED display material layer, a common electrode layer, an encapsulation layer, a curved touch detection and fingerprint detection layer and a curved protective layer. The thin film transistor layer includes plural thin film transistors, plural scan lines, and plural data lines. The pixel electrode layer includes plural pixel electrodes. The curved touch detection and fingerprint detection layer includes plural sense electrodes and plural traces for performing the touch detection operation and fingerprint identification operation. A partial area of the curved touch detection and fingerprint detection layer and the curved protective layer exhibits a curved-surface shape.