Compositional gradient exponents and grading direction in functionally graded materials designed for high-temperature applications play an important role in thermo-mechanical behavior. Herein, the effect of the material composition of both radial and angular directions on the thermo-mechanical behavior of the functionally graded circular plates adhesively bonded (FGCP-AB) and adhesive is investigated. The material composition varies along a plane direction, not in the plate thickness direction. Heat transfer and elasticity equations in polar coordinates are solved for plane stress and plane strain using the finite difference method. Herein, the coordinate-dependent change in material properties is taken into account in the partial differential equations. In the results obtained, it has been emphasized that the variation of the material composition is an important design criterion which must be taken into consideration both in the adhesive-adhesive interface and in the arrangement of the thermal residual stress regions occurring in the FGCP-AB. This study is an important source in determining the thermal stress behavior according to the material composition and grading direction of functionally graded circular plates adhesively bonded that have not yet been mass-produced.