A curable composition includes (A) silica fine particles surface-modified with at least one silane compound including at least (A1) a polymerizable silane compound of the general formula (1), (B) a (meth)acrylate compound, and (C) a polymerization initiator, SiR1aR2bR3c(OR4)4-a-b-c  (1) wherein R1 is a C11-20 hydrocarbon group having an ethylenic unsaturated group, or a substituted C11-20 hydrocarbon group having an ethylenic unsaturated group and having an ether bond and/or an ester bond; R2 is a hydrogen atom or a C1-4 hydrocarbon group; R3 is a halogen atom; R4 is a hydrogen atom or a C1-10 hydrocarbon group; a is an integer of 1 to 3; b is an integer of 0 to 2; c is an integer of 0 to 3; the sum of a and b is 1 to 3; the sum of a, b and c is 1 to 4.