The essence of the method is that diesel fuel is heated in the process of periodical circulation in a closed circuit including a heat exchanger and a rotor-disc apparatus of open type in centrifugal force field of which processes of mechanical destruction and dispersion run in environment of sucked air with oxygen saturation, simultaneously with processes of separation and homogenization fine filtration is carried out at a filtering porous partition of hydrophobic material with purification fineness 3/8 micron as well as filtration at a multilayer filter-reactor at temperature 25/45.degree. C. which comprises granules of multifunctional catalyst alkylating aromatic compounds and a layer of fill of powder of transitional metals or their oxides. Then the treated fuel is stabilized by adding additives on the basis of surface-active substances. At that conical trays of the rotor-disc apparatus of open type are made with destruction edge in form of flanging with slots and bends at the following correlation of geometric parameters: D=(2,0/2,5)d; H=(0,75/0,85)d; .alpha.=45/55.degree. where: D=diameter of the large (lower) base of the conical tray; d=diameter of the small (upper) base of the conical tray; H=height of the conical tray; .alpha.=angle between the generator and the large (lower) base of the conical tray.