The thermal behavior of a thick transversely isotropic FGM rectangular plate was investigated within the scope of three dimensional elasticity. Noticing many FGMs may have temperature dependent properties, the material constants were further considered as functions of temperature. A solution method based on state space formulations with a laminate approximate model was proposed. For a thin plate, the method was clarified by comparison with the thin plate theory. The influences of material inhomogeneity and temperature dependent characteristics were finally discussed through numerical examples.