Olefin polymerization catalyst and process for producing olefin polymer

The present invention provides polymers with excellent moldability due to a wider molecular weight distribution (i.e. a larger ratio Mw/Mn between weight-average molecular weight (Mw) and number-average molecular weight (Mn) (Q value)) and a larger FR and melt tension (MT), compared to olefin polymers produced by polymerizing olefins in the presence of catalysts using conventional metallocene-type transition metal compounds, and it relates to an olefin polymerization catalyst comprising the following component (A) and component (B), and to a process of producing olefin polymers with the catalyst. Component (A): A solid catalyst component comprising the following component (A-1) and component (A-2). Component (A-1): A solid component obtained by contacting the following component (A-1-1), component (A-1-2) and component (A-1-3). Component (A-1-1): an ion-exchangeable layered silicate Component (A-1-2): a magnesium compound Component (A-1-3): a titanium compound Component (A-2): A metallocene-type transition metal compound Component (B): An organic aluminum compound en