NOVELTY - Production of hydrocarbon fuel from renewable organic material of biological origin comprises forming feedstock by combining fossil hydrocarbon fuel with 1-35 vol.% renewable organic material; and mixing feedstock with hydrogen-rich gas and conducting combined stream to hydrodeoxygenation stage by contacting combined stream with hydrodeoxygenation catalyst. The hydrodeoxygenation catalyst is supported molybdenum (Mo) catalyst containing 0.1-20 wt.% Mo. The support comprises alumina, silica and/or titania.    USE - Method for production of hydrocarbon fuel from renewable organic material of biological origin (claimed).    ADVANTAGE - Because the catalyst has lower activity than traditional nickel-Mo or cobalt-Mo catalysts, the temperature increase and hydrogen partial pressure reduction due to hydrogenation reactions take place in larger section of reactor, thus minimizing potential for forming coke and other deposits that damage catalyst activity and cause increased pressure drop. By using carrier with bimodal pore distribution, the catalyst used in process is more resistant to pore plugging and minimizes increases in pressure drop and deactivation rate. The process and hydrodeoxygenation catalyst produces high quality diesel and naphtha fuels from feedstock.    DETAILED DESCRIPTION - Production of hydrocarbon fuel from renewable organic material of biological origin comprises forming feedstock by combining fossil hydrocarbon fuel with 1-35 vol.% renewable organic material; and mixing feedstock with hydrogen-rich gas, and conducting combined stream to hydrodeoxygenation stage by contacting combined stream with hydrodeoxygenation catalyst. The hydrodeoxygenation catalyst is supported Mo catalyst containing 0.1-20 wt.% Mo. The support comprises alumina, silica and/or titania. The support has bimodal porous structure with pores having diameter larger than 50 nm that constitute greater than or equal to 2 vol.% of total pore volume. An INDEPENDENT CLAIM is included for use of hydrodeoxygenation catalyst in the form of supported Mo catalyst containing 0.1-20 wt.% Mo, as hydrodeoxygenation catalyst for treatment of feedstock combining fossil hydrocarbon fuel with 1-35 vol.% renewable organic material.