Cycloaminoalkoxyphenyl derivatives useful for the treatment of certain pathological syndromes of the cardiovascular system and ocular diseases of formula: in which:B represents a --S--, --SO-- or --SO.sub.2 -- group,R.sub.1 and R.sub.2, which are identical or different, each denotes hydrogen, a methyl or ethyl radical or a halogen such as chlorine, bromine or iodine,A denotes a straight or linear alkylene radical, having from 2 to 5 carbon atoms or a 2-hydroxypropylene radical in which the hydroxy is optionally substituted by a lower alkyl radical,Am denotes a group: ##STR1## in which: R.sub.3, R'.sub.3 and R".sub.3, which are identical or different, each denotes hydrogen, a halogen atom such as chlorine or bromine, a lower alkyl group or a lower alkoxy group, R.sub.4 denotes hydrogen or an alkyl radical,n and m, identical or different, each denotes 0, 1, 2 or 3,Cy represents a group of formula: ##STR2## pharmaceutically acceptable salts thereof.