We present an analysis of thermal and thermoelastic behaviors of a functionally graded infinite plate taking into account electromagnetic wave absorption. To treat with the inhomogeneity of functionally graded wave-absorbing (FGWA) materials,the plate is approximated by subdividing it into thin homogeneous layers to solve the goveing equations together with proper boundary and connecting conditions.The results illustrate that the FGWA plate is a broadband type absorber with electromagnetic wave absorption. By choosing proper material gradation character and the thickness of the FGWA plate,it is possible to obtain a good performance of electromagnetic wave absorption and thermoelastic stress characteristics.