A catalyst for the (co)polymerization of olefins CH2═CHR, in which R is a hydrocarbyl radical with 1-12 carbon atoms, optionally in mixture with ethylene, having a solid catalyst component having an average diameter of 5-150 μm, wherein the solid catalyst component comprises Ti, a Zn compound, MgCl2, and an electron donor compound, wherein more than 50% of titanium atoms are in a +4 valence state, wherein an amount of Zn ranges from 0.1 to 4% by weight based on a total weight of solid catalyst component, and wherein the Zn compound is selected from Zn halide, Zn carbonate, Zn acetate, Zn nitrate, Zn oxide, Zn sulfate or Zn sulfide.