The invention relates to a catalyst component for the polymerization of olefins, a catalyst thereof and use thereof in the polymerization and copolymerization of olefins. In the invention, the catalyst, which is synthesized by using a 1-acyloxy-3-alkoxypropane compound with a specific structure as an internal electron donor, has a high catalytic activity when used for the polymerization of olefins, particularly propylene; and the degree of isotacticity of the product of the polymerization is high, and the molecular weight distribution of the product of the polymerization is wide.