Catalyst for olefin polymerization and use of the same

A catalyst for olefin polymerization, comprising a product of the following components:

• (A) solid titanium-containing catalyst component comprising magnesium, titanium and halogen as essential components;
• (B) organo-aluminum compound catalyst component, and
• (C) silicon ether compound catalyst component, the silicon ether compound being represented by a general formula (I):
• wherein
• R1-R12 groups, which are identical to or different from each other, represent hydrogen, halogen, C1-C20 linear or branched alkyl, C3-C20 cycloalkyl, C6-C20 aryl, C7-C20 alkaryl or C7-C20 aralkyl, and two or more of R1-R12 groups can be linked to form saturated or unsaturated ring structure(s), which is/are optionally substituted by a group having the same meanings as that of R1-R12 groups;
• R1-R12 groups optionally contain one or more hetero-atoms selected from the group consisting of nitrogen, oxygen, sulfur, silicon, phosphorus and halogen atom for replacing carbon atom(s), hydrogen atom(s) or the both;
• and A represents carbon atom or silicon atom.