Phenoxyaminopropanol derivatives represented by the general formula (I), wherein R represents 2-, 3- or 4-pyridyl, 2-pyrimidyl, 2-thiazolyl or 5-bromo-2-thiazolyl, R1 and R2 each represents H, lower alkyl, cycloalkyl, aralkyl or, when bound to each other, R1 and R2 represent a group forming a pyrrolidine or piperidine ring together with the adjacent nitrogen atom, and A represents alkylen containing 2 or 3 carbon atoms, and salts thereof. These are useful as heart-selective beta-blockers.