Different Michael addition reactions catalyzed by solid base K2O/γ-Al2O3 and KF/γ-Al2O3,MgO/γ-Al2O3 prepared by microwave irradiation method were reported in this paper.For the K2O/γ-Al2O3,not only good yield was attained but also made the reaction of Acetonitrile that usually is regarded as inactive carbonion and α,β-unsaturated compound to carry out.The yield of Michael reaction of Ethyl acetoacetate and Crotonaldehyde catalyzed by KF/γ-Al2O3,MgO/γ-Al2O3,MgO/NaY all could reach to 80% and the latter could reach to 90%.At the same time,the catalysts of different content(the ratio of load)of MgO were also applied in this reaction,and it was found that the best content of MgO was 20%~25%.