A propylene polymer composition comprising (percent by weight): A) 68%-80%, of a propylene homopolymer having a Polydispersity Index (P.I.) value of from 4.7 to 10 and MFR L (Melt Flow Rate according to ISO 1133, condition L, i.e. 230° C. and 2.16 kg load) from 10 to 30 g/10 min; B) 20%-32%, of a copolymer of propylene containing from 40.1% to 42.5% extremes included of ethylene derived units; the composition having an intrinsic viscosity of the fraction soluble in xylene at 25° C. comprised between 3 and 6 dl/g and a MFR L from 4 to 12 g/10 min. Said Propylene polymer composition being particularly suitable for injection molded articles having high rigidity and high impact properties at room and at low temperatures.