Non-premixed filtration combustion is a new branch of the filtration combustion that combines some properties of turbulent diffusion flames and premixed filtration combustion. Two-dimensional, two-temperature and multi-component model for non-premixed filtration combustion simulation is presented. Parametric study of radiative efficiency of the burner is performed. The lower limit of total equivalence ratio phi for the simulated system is studied parametrically. Simulation predicts high stability of the flame at low equivalence ratios. It is shown that Burke-Schumann combustion and mixing rate well conforms to heat release rate in the non-premixed filtration combustion system.