An anti-reflection film, having a low-refractive-index layer formed by hardening a composition, the composition containing a polysiloxane compound having a reactive organic functional group represented by formula 1, and a perfluoroolefin copolymer: wherein R1, R2, R3 and R4 each are a substituent having 1 to 20 carbon atoms; R1s, R2s, R3s or R4s each are the same or different; at least one of R1, R3 and R4 is the reactive organic functional group; x is an integer of 1≦x≦4; y is an integer of 10≦y≦500; z is an integer of 0≦z≦500; and the polysiloxane compound may be a random or block copolymer.