The widespread use of smoking in the technologies of meat and fish products increases the urgency of the problem of increasing the carcinogenic safety of technological smoking media. Controlling the pyrolysis temperature of wood fuel in smoke generators is an effective way to solve this problem. The aim of the study is to create a mathematical model of the continuous process of producing smoky smoke in a smoke generator with a thermoradiative energy supply to optimize its temperature conditions and increase the carcinogenic safety of the produced smoky fume. The thermophysical characteristics (TPC) of a wood fuel layer with different humidity and bulk density – thermal conductivity coefficient, volumetric heat capacity and thermal conductivity coefficient – have been experimentally determined. A mathematical description of the continuous process of smoke generation with thermal radiation energy supply in the form of a system of differential equations of heat and mass transfer has been proposed. The simulation of the temperature in the generating fuel layer with the refined TPC of the layer has been performed, which makes it possible to increase the accuracy of the previously developed model for the periodic device.