A process and hydrodeoxygenation catalyst for producing high-quality diesel and naphtha fuels from a feedstock that contains oxygen containing components derived from renewable organic material in which the hydrodeoxygenation catalyst is a supported Mo catalyst and in which the support has a bimodal porous structure. The hydrodeoxygenation catalyst has a Mo content of 0.1 to 20 wt %. The support is alumina, silica, titania or combinations thereof, and the support has a bimodal porous structure with pores with a diameter larger than 50 nm that constitute at least 2 vol % of the total pore volume.