A highly active alpha-olefin polymerization catalyst component is
disclosed. In the presence of a co-catalyst, the catalyst component is
useful for the production of LLDPE resins. The catalyst component is
produced by a method whereby organic silicon compounds are reacted with a
transition metal complex and active transition metal species is deposited
on a silicon-containing MgCl.sub.2 that is prepared in situ in the
presence of the organic silicon compounds.