Propene polymerization was conducted by [eta(3):eta(1)-tert-butyl(dimethylfluorenylsilyl)amido]dimethyltitanium combined with B(C6F5)(3) or methylaluminoxane (MAO) as a cocatalyst in the presence or absence of various trialkylaluminums: Me3Al, Et3Al, (Bu3Al)-Bu-i (triisobutylaluminum) and Oct(3)Al (trioctylaluminum). In the case of living polymerization with B(C6F5)3 at -50 degrees C, addition of Oct(3)Al and Et3Al increased the propagation rate. Et3Al also acted as a chain transfer reagent and selectively gave Al-terminated polymers, while Oct(3)Al induced chain transfer reaction only in high concentration. Little polymer was obtained in the presence of Me3Al or (Bu3Al)-Bu-i. When MAO was used as a cocatalyst, polymerization did not proceed at -50 degrees C,The MAO system, however, showed high activity at 40 degrees C and selectively gave low molecular weight polymers terminated with Al-C bonds. Contrary to the low temperature polymerization with B(C6F5)(3) at -50 degrees C, the polymer yield was enhanced by the addition of Me3Al and (Bu3Al)-Bu-i, while the molecular weight was reduced by Me3Al and enlarged by (Bu3Al)-Bu-i. On the other hand, Et3Al and Oct(3)Al significantly decreased both the polymer yield and the molecular weight under these conditions. It was found that additive effects of trialkylaluminums were strongly dependent on polymerization temperature as well as on the structure of the alkyl group,