Catalytic activities of NiO-SiO 2 for ethylene dimerization and butene isomerization run parallel when the catalysts are activated by evacuation at elevated temperatures, giving two maxima in activities. The variations in catalytic activities are closely correlated to the acidity of NiO-SiO 2 catalysts. Catalytic activities of NiO-TiO 2 catalysts modified with H 2 SO 4 , H 3 PO 4 , H 3 BO 3 , and H 2 SeO 4 for ethylene dimerization and butene isomerization were examined. The order of catalytic activities for both reactions was found to be NiO-TiO 2 /SO 2À 4 ) NiO-TiO 2 /PO 3À 4 > NiO-TiO 2 /BO 3À 3 > NiO-TiO 2 /SeO 2À 4 > NiO-TiO 2 , showing clear dependence of catalytic activity upon acid strength. The high catalytic activity of supported nickel sulfate for ethylene dimerization was related to the increase of acidity and acid strength due to the addition of NiSO 4 . The asymmetric stretching frequency of the S@O bonds for supported NiSO 4 catalysts was related to the acidic properties and catalytic activity. That is, the higher the frequency, the larger both the acidity and catalytic activity. For NiSO 4 /Al 2 O 3 -ZrO 2 catalyst, the addition of Al 2 O 3 up to 5 mol% enhanced catalytic activity for ethylene dimerzation and strong acidity gradually due to the formation of Al-O-Zr bond. The active sites responsible for ethylene dimerization consist of a low-valent nickel, Ni þ , and an acid, as evidenced by the IR spectra of CO adsorbed on NiSO 4 /c -Al 2 O 3 and Ni 2p XPS.