<p>The time-dependent creep behavior of a rotating multi-layered annular plate made of functionally graded piezoelectric material (FGPM) with imperfect interlayer bonding and variable thickness was investigated in this article. In addition to an externally applied axial magnetic field, the disk was exposed to axisymmetric hygrothermal loads. At clamp-free boundary condition, the disk thickness and all material properties vary radially in power-law functions. With parameters that are power functions of the radius, Norton’s law was used as the constitutive model for creep analysis. For each layer, governing equations incorporating creep strains were derived by utilizing hygrothermal field equations, equilibrium, electrostatic, strain–displacement, and stress–strain relations. First, by ignoring creep effects, analytical solutions were discovered for the initial stresses, displacements, and electric potential. Subsequently, analytical formulations for the creep stress rates and electric potential rate under steady-state hygrothermal conditions have been established employing the Prandtl–Reuss relations. Finally, the presentation of numerical examples demonstrates the impacts of axial magnetic field, angular velocity, material inhomogeneity, and interlayer bonding conditions on the creep behavior of the annular plate.</p>