Abstract: A screen for projection comprising light-controlling or light-scattering film obtained by curinga composition comprising at least two monomers or oligomers which have a polymerizable carbon-carbon double bond and are capable of forming polymers different in refractive index, respectively;a composition comprising a compound having no polymerizable carbon-carbon double bond and at least one monomer or oligomer which has a polymerizable carbon-carbon double bond and is capable of forming a polymer having a refractive index different from that of said compound; ora composition comprising at least one monomer or oligomer which has a plurality of polymerizable carbon-carbon double bonds in the molecule and shows different refractive indexes before and after being polymerized,the curing being conducted by irradiation with light from a rod-like light source or line light source, or parallel rays of light or light from a point light source.