Process for producing olefin polymer and olefin polymer

A process for producing an olefin polymer comprising a step of polymerizing at least one olefin selected from ethylene and α-olefins having 4 to 30 carbon atoms, and optional propylene, in the presence of an olefin polymerization catalyst comprising at least one transition metal compound (A) selected from transition metal compounds represented by the general formula [I] and enantiomers thereof,

• the olefin polymer including constituent units derived from the at least one selected from ethylene and α-olefins having 4 to 30 carbon atoms in a total amount between more than 50 mol % and not more than 100 mol %, and constituent units derived from propylene in an amount between 0 mol % and less than 50 mol %, wherein the content of the constituent units derived from ethylene and α-olefins having 4 to 30 carbon atoms and the content of the constituent units derived from propylene total 100 mol %,
• wherein in the formula [I], R1, R3, R6, R7, R8, R9, R10, R11, R12, R13, R14, R15 and R16 are each independently a hydrogen atom, a hydrocarbon group, a hetero atom-containing hydrocarbon group, or a silicon-containing group;
• R2 is a hydrocarbon group, a hetero atom-containing hydrocarbon group, or a silicon-containing group;
• R4 is a hydrogen atom;
• R5 is an alkyl group having 2 or more carbon atoms, a cycloalkyl group or a cycloalkenyl group, or R5 and R7 are bonded to each other to form a ring;
• any two substituents of the substituents R1 to R16 except R4 are optionally bonded to each other to form a ring;
• M is a transition metal of Group IV;
• Q is a halogen atom, a hydrocarbon group, an anionic ligand, or a neutral ligand coordinatable with a lone electron pair;
• j is an integer of 1 to 4;
• and when j is an integer of 2 or greater, Qs are the same or different from one another.