A two-factor mathematical model has been proposed for the preparation of a lignite sorbent designed for the removal of humic substances from water purification. It has been shown that this model adequately describes the dependence of the sorption capacity of the sorbent on the preparation conditions, the temperature and time of the heat treatment process. Based on the proposed model, optimal conditions for the manufacture of the lignite sorbent that ensures the maximum extraction of humic substances from water. By means of the experimental-statistical analysis method, the dependence of the sorption capacity of the polydisperse sorbent on the particle size was found. It has been shown that these models can effectively predict the properties of a brown coal sorbent.