A method efficiently and safely manufactures, on an industrial scale, a compound having an N,N-bis(2-hydroxy-3-chloropropyl)amino group. (1) an amine compound or a solution thereof, (2) epichlorohydrin or a solution thereof, and (3) an acidic compound or a solution thereof are continuously supplied to a flow reactor and reacted at a reaction temperature of 40 to 130° C. and a liquid space velocity of 0.2 to 10 h−1 so that a compound having an N,N-bis(2-hydroxy-3-chloropropyl)amino group is manufactured. The obtained compound having an N,N-bis(2-hydroxy-3-chloropropyl)amino group is dehydrochlorinated by reaction with an alkali so that a polyfunctional glycidylamine type epoxy compound is manufactured.