The behavior of the sulfide NiMo catalyst on an alumina support containing SAPO-11 silicoaluminophosphate (NiMo/SAP-Al2O3) in the hydroprocessing of a mixture of a straight run gas oil (SRGO) and rapeseed oil (RO) was investigated under 5.0 MPa and liquid hourly space velocity of 1.5/hr. The effect of temperature on the properties of the products produced in the hydroprocessing of a mixture with 30 wt.% RO and 70 wt.% SRGO in the presence of the NiMo/SAP-Al2O3 catalyst and a double-bed catalytic system containing layer-by-layer loaded Mo/Al2O3 and NiMo/SAP-Al2O3 sulfide catalysts was evaluated. The experimental conditions provide a full conversion of oxygen-containing compounds and reduction of the content of sulfur to less than 10 mg/kg. Increasing the temperature from 330°C to 380°C led to an increase in the conversion of alkanes formed due to the hydrodeoxygenation of rapeseed oil and to lowering of the cloud point of the hydroprocessing products by approximately 15%. A high conversion of C17, C18 alkanes was achieved in the presence of the NiMo/SAP-Al2O3 catalyst, while the double layer Mo/Al2O3 + NiMo/SAP-Al2O3 system provided a more effective course of the reactions in which aromatic hydrocarbons were hydrogenated.