<p>A numerical-analytic technique is proposed for the determination of one-dimensional nonstationary temperature fields in multilayer thermosensitive plates under the conditions of thermal radiation. We do not impose any restrictions on the nature of temperature dependences of heat-conduction coefficients and volumetric heat capacities. The applied technique is based on the use of the Kirchhoff transformation, generalized functions, Green’s function, linear splines, and the inverse Kirchhoff transformation based on Newton’s iterative formula for solving algebraic equations. We study temperature fields determined both in the presence and in the absence of thermal radiation in two- and four-layer thermosensitive plates under the conditions of heating by heat fluxes of constant and pulsed intensity. For the case of a two-layer plate, we perform the comparison of our results with the results obtained by using the exact formula of inverse Kirchhoff transformation and with the help of another technique suggested earlier.</p>