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The article presents a 2-D steady state mathematical model developed to simulate woody biomass combustion in moving grate furnaces. The model simulates: moisture evaporation, devolatilization of volatile matter and char formation, heterogeneous reactions of char, mass and heat transfer between solid and gas phase and bed shrinkage. The model gives as results the contour of the mass concentration of moisture, char and ash along the grate. Furthermore, mass concentration, temperature and velocity field of gas phase above the biomass bed are calculated and structured to be used in a multidimensional CFD model of gas phase combustion. The model provides a significant insight into the various phenomena that occur during biomass thermal conversion and their correlation between the operational condition and biomass characteristics. Thus, the present model can be used as instrument for furnaces design and for the optimization of the existing ones., Proceedings of the 21st European Biomass Conference and Exhibition, 3-7 June 2013, Copenhagen, Denmark, pp. 1118-1124