TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Components: The catalysts have acid-based Lewis- or Bronsted acidity. The catalyst comprises one or more components of zeolites, including silica binder precursors, alumina binder precursors, doped silicon dioxide, doped aluminum oxide, clay, alumina coated clay and/or silica coated clay. The catalyst comprises one or more components of zeolites with framework types of FAU, EMT, TSC, SBE,-CLO, SAV, BEC, BPH, SBS, preferably USY or metal-exchanged USY and most preferably framework of FAU with a silicon/aluminum ratio of less than 10 and the unit cell size of 2.4-2.5 nm and/or silica binding precursors, alumina binding precursors, doped silicon dioxide, preferably doped with the group of IVB-, IIIB- (including rare earth elements), IIIA-, VA- or VB elements, doped aluminum oxide, preferably doped with the group of IVB-, IIIB (including rare earth elements), IIIA-,VA- or VB-elements, clay, alumina coated clay and/or silica coated clay. The acid catalyst is in the form of powder or molded parts, balls, extrudates, tablets, coated structures such as honeycomb. The reaction temperature of step (a) is 50-250 degrees C, preferably 110-180 degrees C. The amount of catalyst used in step (a) is 0.1-300 (preferably 5-200) g of 100 g of feedstock.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Process: The step (a) is batch or continuous process. The step (a) is carried out in a fixed bed, fluidized-bed, batch- or semibatch-reactor. The step (a) is carried out for 0.1-24 hours, preferably 0.5-3 hours. The step (b) is carried out in the presence of a homogeneous or heterogeneous catalyst. The catalyst is activated before use at 100-800 degrees C, preferably 400-600 degrees C. In step (a), the feedstock is used with water or adsorbents, preferably silica gel or silica hydrogel for cleansing impurities including alkali and alkaline earth metals. Preferred Components: The feedstock is grease, roasting or frying oil, used or unused vegetable oils, fats and vegetable oils, that is not used as food, preferably Physic Nut (Jatropha), and used or unused animal-based fats and oils. The alkyl alcohol is methanol. The ratio of alcohol to feedstock in step (a) is 0.6:1-15:1, preferably 10:1. EXAMPLE - Rapeseed oil was treated with methanol (7.5 l) in the presence of catalyst (50% based on g of oil) (powder type zeolite FAU (silicon/aluminum ratio of 3-4, unit cell size of 2.45-2.46 nm)) with sodium oxide (Na2O) (1 wt.%) at 135 degrees C of 7 hours, followed by transesterification of the obtained product to give fatty acid methyl ester (94 mole%).