A fingerprint recognition device and an OLED display device, which relate to the technical field of display and can solve the problems of a low recognition accuracy due to a large distance from a finger to a fingerprint recognition device. The fingerprint recognition device comprises recognition units alternately defined by a plurality of scanning lines and signal reading lines which are crisscrossed with each other. Each recognition unit is provided with a switching transistor and a photosensitive element. The photosensitive element comprises a photoelectric conversion layer and a collimator filter layer which are stacked successively. The collimator filter layer is used for irradiating incident light onto the photoelectric conversion layer in parallel, and the photoelectric conversion layer is used for performing photoelectric conversion on the incident light.