Provided is a production method of a synthetic intermediate for a heterocyclic compound having a renin inhibitory activity and useful as a prophylactic or therapeutic drug for diabetic nephropathy, hypertension and the like. A production method of a compound represented by the formula (III-1a), the formula (III-1b), the formula (III-1c) and/or the formula (III-1d); wherein each symbol is as described in DESCRIPTION, or a salt thereof, including reacting a compound represented by the formula (Ia) or (Ib): wherein each symbol is as described in DESCRIPTION, or a salt thereof with a compound represented by the formula (II): wherein each symbol is as described in DESCRIPTION, or a salt thereof, in the presence of an aluminum compound and a chiral amine compound.