Process for producing the block copolymer

The present invention uses a microreactor comprising a mixable flow path a plurality of liquid (except α- methyl styrene.) Styrene or a derivative thereof obtained by living anionic polymerization in the presence of a polymerization initiator the growing end of the styrene or a polymer block derived from a derivative thereof (a), alpha-methyl styrene are reacted, the polymer at one end of the block (a) alpha-methylstyrene-derived polymerized units (B) is bonded was after obtaining an intermediate polymer, wherein the intermediate polymer having α- methylstyrene derived polymerized units (B) as a growing end, further (meth) living anion in the presence of acrylate compound (c) polymerization initiator by polymerization, it provides a process for producing the block copolymer to form a (meth) acrylate compound (c) derived from the polymer block (C).