<p>The present work is aimed at the formulation of the temperature-rate-dependent piezothermoelasticity theory which includes two temperatures, namely the thermodynamic temperature and the conductive temperature. The basic constitutive equations of the theory of piezothermoelasticity involving thermal relaxation parameters are reported in literature and are used by many researchers previously for the analysis of different problems on plates, beams, resonators, and many multilayer structures. But there is a gap in deriving the constitutive relations for piezothermoelasticity based on temperature-rate-dependent heat conduction model with two-temperature theory. The concerned work is motivated to bridge the existing knowledge gap by developing the model to derive the fundamental governing equations and constitutive relations of piezothermoelasticity based on the Green–Lindsay thermoelasticity theory and two-temperature thermoelasticity theory. It is demonstrated that the two-temperature formulation considered here incorporates the temperature-rate terms of both the conductive and thermodynamic temperatures. By linearizing the proposed theory, the uniqueness of the solution for a general mixed initial boundary value problem in temperature-rate-dependent two-temperature piezothermoelasticity theory has been established. In addition, to illustrate the theory, a one-dimensional problem of piezothermoelastic half-space has been solved within the framework of the current theory.</p>