The paper presents a mathematical model and calculation results for the process of gasification of solid hydro-carbons (SHC) placed in form of spherical bedding inside channels with variable cross section and washed with high-temperature gas. Parametric study was performed for analysis of generator performance (mass flow rate and gasifica-tion products) as function of different parameters: temperature and composition of gas phase, thermophysical proper-ties of SHC, sphere diameter in the bedding, and channels configuration. The method for estimating the SHC gasifica-tion process in a flow duct of low temperature gas generator (LTGG) without loss of spheres shape (due to melting) was developed. The method offers recommendations for obtaining the required level of mass flow rate and gas temper-ature at the generator exit. These data can be used for analysis of experimental results on SHC sublimation at the stage of preliminary designing of the LTGG.