A catalyst system comprising (a) at least one ionic metallocene derived from a transition metal, prepared by reaction of a neutral halogenated metallocene with an ionizing agent selected from the group consisting of tris(pentafluorophenyl)boron, triphenylboron, trimethylboron, tris(trimethylsilyl) borate, and organoboroxines or an ionizing agent consisting of a first part exhibiting properties of a Lewis acid selected from the group consisting of carbenium, sulfonium, and oxonium and capable of ionizing said neutral halogenated metallocene, and a second part which is capable of stabilizing said ionic metallocene and which is inert toward the ionized metallocene, (b) at least one catalytic solid containing 15 to 20% by weight of titanium, 0.5 to 20% by weight of magnesium and 30 to 40% by weight of chlorine, and (c) at least one aluminium derivative of general formula AlX.sub.n T.sub.3-n in which X denotes a halogen, T denotes a hydrocarbon radical which may optionally include oxygen and n is a number from 0 to 3.