This invention relates to a catalyst component for olefinic polymerization and its catalyst, said catalyst component comprises titanium compoumd with at least one Ti- halogen bond loaded on MgCl2nROH adduct and reaction product of two electronic doner compounds,wherein electronic doner compound A is chosen from poly alcohol ester compounds, and electronic doner compound B is chosen from ester,ether, ketone, amine and silicane compounds except compound A.The invented catalyst has high catalytic activity for olefinic polymerization ,in particular propylene polymerization, and wider molecular weight distribution.