In this paper, the thermo-elastoplastic behaviors of rotating sandwich nonuniform thickness annular discs made of functionally graded materials are evaluated using the numerical finite difference method. The sandwich disc is composed of number of equal width layers, and each layer has its own volume fraction. The temperature dependency of the constituent materials is considered; hence, the thermomechanical properties are functions of both position and temperature. The plasticity analysis is accomplished based on the modified Tamura–Tomota–Ozawa model and von Mises yielding criterion. The effects of angular speed, number of layers, thickness profile, and boundary conditions on the stresses and displacements are investigated. Since failure may occur at the interface between the successive layers, the circumferential stress-jumps at the interfaces are also considered. Results ascertain that the temperature dependency of the properties highly influences the disc behaviors. In addition, better disc performance is obtained by increasing the number of layers and/or decreasing the angular speed.