There is provided a process for producing an olefin polymer that is capable of producing an olefin polymer having high heat resistance and high molecular weight with excellent catalytic activity.The process for producing an olefin polymer includes a step of polymerizing at least one olefin selected from ethylene and α-olefins having 4 to 30 carbon atoms in the presence of an olefin polymerization catalyst containing a transition metal compound represented by the general formula [I], the olefin polymer including constituent units derived 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 %, [in the formula [I], R1, R3 and R5 to R16 are each independently a hydrogen atom, a hydrocarbon group or the like; R2 is a hydrocarbon group or the like; R4 is a hydrogen atom; M is a transition metal of Group IV; Q is a halogen atom or the like; and j is an integer of 1 to 4].