A process for the production of paraffin fractions by special hydrocracking comprising the treatment of a feedstock with hydrogen at 220-400°C temperature and 10-70 bars pressure in the presence of a heterogeneous catalyst applied on a carrier, wherein the volumetric ratio of hydrogen to feedstock is 200-800 Nm 3 /m 3 and the hourly feedstock load is up to 10 m 3 feed/m 3 catalyst, and wherein - the feedstock comprises oils and fats of vegetable and/or animal origin and mixtures thereof, containing triglycerides and/or fatty acids and/or fatty acid esters with carbon numbers of 6-28 or higher, preferably 20-28; - the heterogeneous catalyst is selected from non-pyrophoric Raney-Nickel without a carrier and NiMo, MoCo, NiMoCo and NiW metal combinations and fully or partially sulfidized variants thereof, as well as the NiMoP and sulfidized NiMoP; and the carrier is selected from amorphous alumina, silica, amorphous Al 2 O 3 -SiO 2, magnesium-oxide and mixtures thereof; - the process is carried out in the presence of a sulfidizing agent to maintain the sulfidized state of the sulfide catalyst at a constant level, the sulfidizing agent is selected from hydrogen sulfide and/or dialkyl-disulfide, such as dimethyl-disulfide, diethyl-disulfide, ethyl-methyl-disulfide or di-tert-butyl-disulfide, dialkyl-polysulfide, such as dioctyl-polysulfide, and/or sulfur compounds containing oxygen, such as dimethyl-sulfoxide or methyl-mercapto-acetate, ethyl-2-mercapto-acetate, ethyl-hexyl-mercapto-acetate or methyl-3-mercapto-propionate; wherein the amount thereof is minimum 0.15 v/v%; and - the process is carried out in the presence of an agent inhibiting oxidation and/or gum formation as indifferent material for controlling the reaction, that is selected from dialkyl-phenols, such as di-tert-butyl-phenol, polyalkyl-phenols, dialkyl-cresols, such as the 2,6-di-tert-butyl-p-cresol, as well as dialkyl-biphenyl-amines, such as the diethyl-biphenyl-amine or ethyl-methyl-biphenyl-amine; wherein the amount thereof is 20-400 mg/kg with respect to the amount of the feedstock. - the feedstock comprises oils and fats of vegetable and/or animal origin and mixtures thereof, containing triglycerides and/or fatty acids and/or fatty acid esters with carbon numbers of 6-28 or higher, preferably 20-28; - the heterogeneous catalyst is selected from non-pyrophoric Raney-Nickel without a carrier and NiMo, MoCo, NiMoCo and NiW metal combinations and fully or partially sulfidized variants thereof, as well as the NiMoP and sulfidized NiMoP; and the carrier is selected from amorphous alumina, silica, amorphous Al 2 O 3 -SiO 2, magnesium-oxide and mixtures thereof; - the process is carried out in the presence of a sulfidizing agent to maintain the sulfidized state of the sulfide catalyst at a constant level, the sulfidizing agent is selected from hydrogen sulfide and/or dialkyl-disulfide, such as dimethyl-disulfide, diethyl-disulfide, ethyl-methyl-disulfide or di-tert-butyl-disulfide, dialkyl-polysulfide, such as dioctyl-polysulfide, and/or sulfur compounds containing oxygen, such as dimethyl-sulfoxide or methyl-mercapto-acetate, ethyl-2-mercapto-acetate, ethyl-hexyl-mercapto-acetate or methyl-3-mercapto-propionate; wherein the amount thereof is minimum 0.15 v/v%; and - the process is carried out in the presence of an agent inhibiting oxidation and/or gum formation as indifferent material for controlling the reaction, that is selected from dialkyl-phenols, such as di-tert-butyl-phenol, polyalkyl-phenols, dialkyl-cresols, such as the 2,6-di-tert-butyl-p-cresol, as well as dialkyl-biphenyl-amines, such as the diethyl-biphenyl-amine or ethyl-methyl-biphenyl-amine; wherein the amount thereof is 20-400 mg/kg with respect to the amount of the feedstock.