Improving the parameters of dust settling in coal mines, which affect the provision of aerological safety, is an urgent task. this article describes a math ematical model of the deposition of coal dust in the working area of mine workings. Mathematical modeling is based on part of the experiment on dust deposition by pulsed ventilation, together with spraying of liquid aerosol of dusty air, namely the experiment on deposition of coal dust particles with dispersion up to 40 microns in the air of the laboratory bench of volume 1 m 3 . the mathematical model described in this paper is the underlying model. Other parts of mathematical description related to the deposition of dust by irrigation and using the pulse ventilation will be based on this model. also, due to the built model of dust particle behavior it is possible to investigate the behavior of particles of different nature by introduction of certain parameters such as particle density, its molar mass and dispersity. Keywords dust, Mathematical modeling, Mass transfer, Momentum of a gas molecule, Motion of dust molecules, time and speed of dust deposition.