-We developed the mathematical model, which provides a fairly accurate reproduction of the experimental values of the integral characteristics (minimum ignition temperatures, ignition delay times, coordinates of the combustion front birth) of ignition of droplets of coal-water slurries containing petrochemicals (CWSP) in the flow of hot oxidizer. Numerical investigations were carried out for ignition process of droplets of slurries based on typical wastes of coal processing (filter-cakes). Ignition delay times of CWSP droplets were determined under varying droplet sizes (radiuses) from 0.25 mm to 1.5 mm, velocities and temperatures of stream of high temperature gas (oxidizer) from 0.5 m/s to 3 m/s and from 700 K to 1000 K correspondingly. These ranges of parameters variation correspond to main conditions of combustion chambers. We got a satisfactory agreement of the results of mathematical modeling and the known experimental data. The possibility of using Ansys Fluent software package for numerical simulation of CWSP droplet ignition is proved. Good (deviation does not exceed 5-10%) correlation between modeling results and experimental data on the characteristics of the ignition process inertia was established.