A mathematical model has been developed that describes the process of purification of vegetable oils using physical methods. The obtained mathematical model determines the mode of operation of the main parameters of the machine for the purification of vegetable oils, depending on the dispersed composition of the impurities and the type of vegetable oils. Based on the developed mathematical model, the recommended rotor speed and the time to remove the impurities in a centrifuge for the maximum removal of the suspended particles from different types of vegetable oils can be calculated. The response surfaces show the combined effect of the particle density and the rotational speed of the centrifuge's rotor on the impurity removal rate and the impurity removal time in sunflower and rapeseed oil. The obtained theoretical data can be used, in practice, in setting the basic parameters of the machine and selecting the centrifuge's different modes of operation with a periodic action in the purification of various vegetable oils.