The elastic modulus of Al/Al₂O₃ FGM with mesoscopic pore was studied by using the method of asymptotic homogenization.The feasibility of the asymptotic homogenization method to predict the elastic modulus of Al/Al₂O₃ FGM with mesoscopic pores was verified by comparison with the experiment.In the case of ignoring the number of pores and other minor factors，the prediction formula of the elastic modulus of Al/Al₂O₃ FGM with mesoscopic pores was obtained by fitting,which is related to porosity and Al₂O₃ volume fraction.The results show that the mesoscopic pores can not be ignored in the prediction of the elastic modulus of Al/Al₂O₃ FGM. Under the same porosity,the number of pores has little influence on the elastic modulus of Al/Al₂O₃ FGM,while the size and location of pores have great influence on the elastic modulus.The elastic modulus of Al/Al₂O₃ FGM with random pores is lower than that of Al/Al₂O₃ FGM with uniform pores under various volume fractions.Porosity also has an obvious influence on the elastic modulus of Al/Al₂O₃ FGM.With the increase of porosity,the elastic modulus of materials gradually decreases,and the greater the volume fraction of Al₂O₃,the greater the decrease.