Block copolymer composition, film, and method for producing block copolymer composition

An object of the present invention is to provide a block copolymer composition containing an aromatic vinyl-conjugated diene-aromatic vinyl block copolymer, which is capable of achieving a high-level balance between a high elastic modulus and a small permanent set, and is capable of producing a highly isotropic molded product having uniform mechanical properties even when a molding method which is likely to cause molecular orientation, such as extrusion molding, is applied. The object is attained by providing a block copolymer composition comprising a block copolymer A represented by the following Formula (A) and a block copolymer B represented by the following Formula (B), wherein a weight ratio (A/B) between the block copolymer A and the block copolymer B is 36/64 to 85/15: Ar1a-Da-Ar2a(A) (Arb-Db)n-X(B), in the Formulae (A) and (B), Ar1a and Arb each represent an aromatic vinyl polymer block having a weight average molecular weight of 6,000 to 15,000; Ar2a represents an aromatic vinyl polymer block having a weight average molecular weight of 40,000 to 400,000; Wand Db each represent a conjugated diene polymer block having a vinyl bond content of 1 mol % to 20 mol %; X represents a residue of a coupling agent; and n represents an integer of 3 or greater.