Process for the hydroaminomethylation of olefins, characterized in that at least one olefin is reacted with at least one primary or secondary amine with the introduction of H 2 and CO, in the presence of a catalytic system of a ruthenium complex and at least one ligand, where the ligand is an organic phosphorus ligand of one of the general formulae to: in which R' and R" are identical or different and are a radical which is selected from the group consisting of: (C 1 -C 12)-alkyl, (C 1 -C 12) -heteroalkyl, (C 4 -C 14)-aryl, (C 4 -C 14) -aryl- (C 1 -C 12) -alkyl, (C 4 -C 14)-aryl-O-(C 1 -C 12)-alkyl, (C 3 -C 14)-heteroaryl, (C 3 -C 14)-heteroaryl-(C 1 -C 12)-alkyl, (C 3 -C 12)-cycloalkyl, (C 3 -C 12)-cycloalkyl-(C 1 -C 12) -alkyl, (C 3 -C 12)-heterocycloalkyl, (C 3 -C 12)-heterocycloalkyl-(C 1 -C 12)-alkyl, O-(C 1 -C 12)-alkyl, O-(C 1 -C 12)-heteroalkyl, O-(C 4 -C 14)-aryl, O-(C 4 -C 14)-aryl-(C 1 -C 14)-alkyl, O-(C 3 -C 14) -heteroaryl, O-(C 3 -C 14) -heteroaryl- (C 1 -C 14)-alkyl, O-(C 3 -C 12)-cycloalkyl, O-(C 3 -C 12)-cycloalkyl-(C 1 -C 12)-alkyl, O-(C 3 -C 12)-heterocycloalkyl, O-(C 3 -C 12) -heterocycloalkyl- (C 1 -C 12) -alkyl, where the specified alkyl, heteroalkyl, cycloalkyl, heterocycloalkyl, aryl and heteroaryl groups are optionally mono- or polysubstituted and R a and R b are selected from: hydrogen, hydroxy, (C 1 -C 12)-alkyl, (C 1 -C 12)-heteroalkyl, (C 4 -C 14)-aryl, (C 4 -C 14)-aryl-(C 1 -C 12)-alkyl, (C 4 -C 14)-aryl-O-(C 1 -C 12)-alkyl, (C 3 -C 14)-heteroaryl, (C 3 -C 14)-heteroaryl-(C 1 -C 12)-alkyl, (C 3 -C 12)-cycloalkyl, (C 3 -C 12)-cycloalkyl-(C 1 -C 12)-alkyl, (C 3 -C 12)-heterocycloalkyl, (C 3 -C 12)-heterocycloalkyl-(C 1 -C 12)-alkyl, O-(C 1 -C 12)-alkyl, O-(C 1 -C 12)-heteroalkyl, O-(C 4 -C 14)-aryl, O-(C 4 -C 14)-aryl-(C 1 -C 14)-alkyl, O-(C 3 -C 14) -heteroaryl, O-(C 3 -C 14) -heteroaryl- (C 1 -C 14)-alkyl, O-(C 3 -C 12)-cycloalkyl, O-(C 3 -C 12)-cycloalkyl-(C 1 -C 12)-alkyl, O-(C 3 -C 12)-heterocycloalkyl, O-(C 3 -C 12)-heterocycloalkyl-(C 1 -C 12)-alkyl, where the specified alkyl, heteroalkyl, cycloalkyl, heterocycloalkyl, aryl and heteroaryl groups are optionally mono- or polysubstituted and and where R a is also capable of forming a larger condensed ring. R' and R" are identical or different and are a radical which is selected from the group consisting of: (C 1 -C 12)-alkyl, (C 1 -C 12) -heteroalkyl, (C 4 -C 14)-aryl, (C 4 -C 14) -aryl- (C 1 -C 12) -alkyl, (C 4 -C 14)-aryl-O-(C 1 -C 12)-alkyl, (C 3 -C 14)-heteroaryl, (C 3 -C 14)-heteroaryl-(C 1 -C 12)-alkyl, (C 3 -C 12)-cycloalkyl, (C 3 -C 12)-cycloalkyl-(C 1 -C 12) -alkyl, (C 3 -C 12)-heterocycloalkyl, (C 3 -C 12)-heterocycloalkyl-(C 1 -C 12)-alkyl, O-(C 1 -C 12)-alkyl, O-(C 1 -C 12)-heteroalkyl, O-(C 4 -C 14)-aryl, O-(C 4 -C 14)-aryl-(C 1 -C 14)-alkyl, O-(C 3 -C 14) -heteroaryl, O-(C 3 -C 14) -heteroaryl- (C 1 -C 14)-alkyl, O-(C 3 -C 12)-cycloalkyl, O-(C 3 -C 12)-cycloalkyl-(C 1 -C 12)-alkyl, O-(C 3 -C 12)-heterocycloalkyl, O-(C 3 -C 12) -heterocycloalkyl- (C 1 -C 12) -alkyl, where the specified alkyl, heteroalkyl, cycloalkyl, heterocycloalkyl, aryl and heteroaryl groups are optionally mono- or polysubstituted and (C 1 -C 12)-alkyl, (C 1 -C 12) -heteroalkyl, (C 4 -C 14)-aryl, (C 4 -C 14) -aryl- (C 1 -C 12) -alkyl, (C 4 -C 14)-aryl-O-(C 1 -C 12)-alkyl, (C 3 -C 14)-heteroaryl, (C 3 -C 14)-heteroaryl-(C 1 -C 12)-alkyl, (C 3 -C 12)-cycloalkyl, (C 3 -C 12)-cycloalkyl-(C 1 -C 12) -alkyl, (C 3 -C 12)-heterocycloalkyl, (C 3 -C 12)-heterocycloalkyl-(C 1 -C 12)-alkyl, O-(C 1 -C 12)-alkyl, O-(C 1 -C 12)-heteroalkyl, O-(C 4 -C 14)-aryl, O-(C 4 -C 14)-aryl-(C 1 -C 14)-alkyl, O-(C 3 -C 14) -heteroaryl, O-(C 3 -C 14) -heteroaryl- (C 1 -C 14)-alkyl, O-(C 3 -C 12)-cycloalkyl, O-(C 3 -C 12)-cycloalkyl-(C 1 -C 12)-alkyl, O-(C 3 -C 12)-heterocycloalkyl, O-(C 3 -C 12) -heterocycloalkyl- (C 1 -C 12) -alkyl, R a and R b are selected from: hydrogen, hydroxy, (C 1 -C 12)-alkyl, (C 1 -C 12)-heteroalkyl, (C 4 -C 14)-aryl, (C 4 -C 14)-aryl-(C 1 -C 12)-alkyl, (C 4 -C 14)-aryl-O-(C 1 -C 12)-alkyl, (C 3 -C 14)-heteroaryl, (C 3 -C 14)-heteroaryl-(C 1 -C 12)-alkyl, (C 3 -C 12)-cycloalkyl, (C 3 -C 12)-cycloalkyl-(C 1 -C 12)-alkyl, (C 3 -C 12)-heterocycloalkyl, (C 3 -C 12)-heterocycloalkyl-(C 1 -C 12)-alkyl, O-(C 1 -C 12)-alkyl, O-(C 1 -C 12)-heteroalkyl, O-(C 4 -C 14)-aryl, O-(C 4 -C 14)-aryl-(C 1 -C 14)-alkyl, O-(C 3 -C 14) -heteroaryl, O-(C 3 -C 14) -heteroaryl- (C 1 -C 14)-alkyl, O-(C 3 -C 12)-cycloalkyl, O-(C 3 -C 12)-cycloalkyl-(C 1 -C 12)-alkyl, O-(C 3 -C 12)-heterocycloalkyl, O-(C 3 -C 12)-heterocycloalkyl-(C 1 -C 12)-alkyl,