An anti-reflection film that can provide high visibility and has an anti-reflection function by which reflection of incident light from external can be further reduced, and a display device having such an anti-reflection film. A plurality of contiguous pyramidal projections is arranged in a geometric pattern, so that reflection of incident light is prevented. In addition, a protective layer formed of a material having a lower refractive index than the pyramidal projections is provided so as to fill a space between the plurality of pyramidal projections. The plurality of pyramidal projections has a hexagonal shape and can be densely arranged with no space therebetween. Further, since six sides of each pyramidal projection are provided at a different angle from the base, light can be effectively scattered in many directions.