Compounds derived from oxazolidin-2-one of formula (I) ##STR1## in which: R.sub.1 represents a hydrogen atom, an alkyl group, a hydroxyalkyl group, a fluoroalkyl group, a hydroxyfluoroalkyl group, a cyanoalkyl group, a substituted or unsubstituted phenyl group, a substituted or unsubstituted phenylmethyl group or an R.sub.3 A- group in which R.sub.3 is a cycloalklyl or cyclooxyalkyl group which is unsubstituted or substituted by a hydroxyl group and A is a --CH.sub.2 or --CH.sub.2 --CH.sub.2 radical,R.sub.2 represents a hydrogen atom or a methyl group,X represents an oxygen or sulphur atom or an NR.sub.4 group where R.sub.4 is an alkyl group or a hydrogen atom, andZ represents an oxygen atom or a --CH.dbd.CH or --CH.sub.2 --CH.sub.2 group,their process of preparation and their applications in therapeutics.