The catalyst comprises at least a metal component and at least a non-metallic conducting component as supplement component. The metal component generally contains one or more metals of the groups VIb, VIIb or VIIIb of the periodic table. The supplement component is e.g. a conducting carbon material like graphite, a conducting polymer or a conducting metal oxide. Preferably it is hydrophobic or made hydrophobic. The catalyst is used for hydroprocessing of bio-feedstock like vegetable oils to produce fuels, which are aliphatic hydrocarbons comparable to conventional fuel from mineral oil.