Disclosed are a touch device and a display device, where the touch device includes: an array substrate, a plurality of sensing elements arranged on the array substrate to recognize a fingerprint, and a plurality of filter structures arranged on a side of the plurality of sensing elements; the side is away from the array substrate: each of the plurality of filter structures comprises a plurality of filter layers arranged in a stack, each of the plurality of filter layers comprises light-transmitting areas and light-shielding areas on a periphery of the light-transmitting areas, orthographic projections of any two of the light-transmitting areas of the plurality of filter layers onto the array substrate have an overlapping area; the overlapping area is smaller than an area of an orthographic projection of any one of the light-transmitting areas of the plurality of filter layers onto the array substrate.