A method for the emulsion polymerization of one or more olefins by reacting a ligand of general formulae Ia and Ib or a mixture of at least two ligands Ia or Ib, wherein R respectively represents one or several of the following radicals; hydrogen, halogen, nitrile, C1-C12-alkyl groups, C1-C12-alkoxy groups, C7-C13-aralkyl groups, C6-C14-aryl groups, and wherein identical or different compounds of general formulae Ia and Ib can, optionally, be concatenated by one or several bridges, with a phosphine compound PR3′ and a metal compound of general formula M(L2)2 or M(L2)2 (L1)z, wherein the variables are defined as follows: M is a transition metal of groups 7-10 in the periodic system of the elements; L1 represents phosphanes (R5)xPH3-x or amines (R5)xNH3-x with identical or different radicals R5, ether (R5)2O, H2O, alkohols (R5)OH, pyridine, pyridine derivatives of formula C5H5-x(R5)xN, CO, C1-C12-alkylnitriles, C6-C14-arylnitriles or ethylenically unsaturated double bond systems, wherein x is a whole number ranging from 0-3, L2 represents halogenide ions R6xNH3-x, wherein x is a whole number ranging from 0 3 and R6 represents C1-C12-alkyl, and C1-C6-alkylane ions, allylane ions, benzylane ions or arylane ions, wherein L1 and L2 can be concatenated with each other by one or several covalent bonds, z is a number ranging from 0 4. The invention also relates to the immediate use of the reaction product in the polymerization or copolymerization of olefins in water or in a solvent mixture containing at least 50 vol. % water in the presence of an emulsifier and, optionally, in the presence of an activator.