The paper presents the problems of numerical modelling of burners and fireboxes the heat generators. The designs household generators placed directly on the premises, in the last decades, for the goal of commercial appeal, tend become to more and more compact, which leads to a reduction of the firebox to a burn zone’s volume ratio. The numerical study of combustion processes using computational fluid dynamics (CFD) was carried out on the Unimat UT-L18 “Bosch” boiler, the gas heating convector “FEG” Beata 2, and the Vitodens 100-W “Viessmann” boiler. Computations were based on a one-stage combustion process of methane, both mixes with air and oxygen. Geometric models of fireboxes were developed by corresponding to their constructive features, the necessary boundary and initial conditions of furnace processes were determined, temperature, aerodynamic and concentration characteristics of gas fuel combustion processes were also presented. The models provided an opportunity for the quantitative analysis of furnace and burner devices of this heat generators degree of perfections. Also, the completeness of the oxidation of combustible components of the fuel-air mixture in fireboxes, differing in the degree close walls to burn zone, was compared. The obtained results allow to perform the improvement of the furnace and burner devices of domestic heat generators for using at design energy-efficient structures of decentralized heat systems, including individual heat supply in the residential and industrial building.