To produce physiologically active bis-dialkylamides of phosphorylated 1,4-dicarboxylic acids of formula (I)wherein each R can be straight or branched alkyl, unsubstituted or substituted phenyl, wherein substituents of the phenyl group can be from 1 to 5 halogen atoms, from 1 to 5 lower alkyl groups, from 1 to 5 lower alkoxy groups, from 1 to 5 dialkylamino groups R can be straight or branched alkyl Y is a direct bond or a methylene group, a mixture of the corresponding phosphorylated 1,4-dicarboxylic acids is heated with hexaalkyl triamidophosphites of general formula (R2N)3P in an organic solvent within a temperature range from 20 to 80°C until the reaction is complete followed by separation and purification. The compounds of general formula (I) thereby produced possess neuroprotective properties and can be used in medicine.