Production method of olefin polymer and olefin polymerization catalyst

A production method of an olefin polymer, comprising

• polymerizing monomer(s) comprising at least one α-olefin having 3 or more carbon atoms at not less than 50° C. and not more than 200° C. in the presence of an olefin polymerization catalyst comprising;
• (A) a crosslinked metallocene compound represented by Formula I;
• and
• (B) at least one compound selected from
• (b-1) an organoaluminum oxy-compound,
• (b-2) a compound that forms an ion pair by reacting with the crosslinked metallocene compound (A), and
• (b-3) an organoalunimum compound,
• in the formula, R1 is an adamantyl group derivative;
• R2 and R7 are selected from a hydrocarbon group, a silicon-containing group, or a halogen-containing hydrocarbon group;
• R3 and R6 are hydrogen atoms;
• R4, R5, R8, R9, R10, R11, and R12 are independently selected from a hydrogen atom, a hydrocarbon group, a silicon-containing group, a halogen atom, or a halogen-containing hydrocarbon group, and adjacent substituents among R4, R5, R8, R9, R10, R11, and R12 optionally form a ring;
• n is an integer between 1 and 3;
• M is a Group 4 transition metal;
• each Q is independently a halogen atom, a hydrocarbon group, an anionic ligand, or a neutral ligand that is bondable with a lone pair;
• and j is an integer between 1 and 4.