Provided is a process for producing an optically active compound represented by Formula (3): (wherein R1 is an alkyl group, an alkynyl group, an alkenyl group, an aliphatic heterocyclic group, a cycloalkyl group, an aryl group, an aralkyl group, or an aromatic heterocyclic group, and any hydrogen atom of R1 may be replaced with a substituent; R2 is a hydrogen atom or a group which is not reactive in the reaction below; and * represents a chiral center) or a salt thereof by subjecting a compound represented by Formula (1): (wherein R1 and R2 have the same meanings as defined in Formula (3)) to a ring closure reaction in the presence of a chiral ligand having 1 or more coordination sites, a Lewis acid represented by Formula (2): MmZn  (2) (wherein M is a metal ion, Z is a counter anion of M, and m and n are integers of 1 to 4), and a sulfonyl halide having an optionally substituted alkyl or phenyl group.