PRODUCTION OF OLEFIN POLYMER

PROBLEM TO BE SOLVED: To provide a method for producing an olefin polymer, capable of efficiently producing the polymer having a high mol.wt. in the presence of a catalyst containing a highly active transition metal catalyst component. SOLUTION: This method for producing an olefin polymer comprises polymerizing a α-olefin in the presence of a catalyst containing the following components [A] and [B]. [A]: A metallocene-based transition metal compound of the formula: R1m(C5R2a)(C5R3b)HfX1X2 [X1, X2 are each independently an atom or substituent selected from the group consisting of halogens, hydrogen, 1-20C alkoxy groups, aryloxy groups, amide groups and trifluoromethanesulfonyl group; (m) is 0 or 1; (a), (b) are each 5, when (m) is 0, and (a), (b) are each 4, when (m) is 1], which has a hafnium atom as a central atom and may have on two cyclopentadiene rings substituents R2 and R3 that may bound to each other through a crosslinking group R1. [B]: An ion-exchanging laminar silicate salt.