An aralkylamine compound of the formula ##STR1## wherein R.sup.1 means a hydrogen atom or a lower alkyl group; R.sup.2 means an aromatic group which may be substituted; R.sup.3 means a hydrogen atom, a lower alkyl group or an aromatic group which may be substituted; n means an integer of 0 to 7; ring A means a five-through eight-membered cyclic group which may be substituted and may contain one or two hetero atom(s) of O and S atoms as the ring-constituents; and ring B means a benzene ring which may be substituted, or a salt thereof, which is useful as an cholinesterase inhibitor and a cerebral function ameliorating agent.