A process for producing a syndiotactic α-olefin polymer having high racemic diad fraction and high molecular weight with excellent polymerization activity through a method permitting high-temperature polymerization. The production process comprises polymerizing a monomer that comprises at least one C3-10 α-olefin and a small amount of ethylene, in the presence of an olefin polymerization catalyst comprising a transition metal compound (A) represented by the general formula [1], at least one compound (B) selected from an organoaluminum oxy-compound (b-1), a compound (b-2) that reacts with the transition metal compound (A) to form an ion pair and an organoaluminum compound (b-3), which process for producing a syndiotactic α-olefin polymer satisfies the relationship: 0.001≦PE/PO≦0.030, provided that the molar amounts of ethylene and an α-olefin having 3 to 10 carbon atoms that are fed into a polymerization reactor under a polymerization temperature of not lower than 25° C. are PE and PO, respectively.