FIELD: production of edible fibers from vegetable raw materials. SUBSTANCE: proposed method includes mixing of particles of exhausted beet pulp with electro-chemically activated solution, grinding to required size and double extraction of ground mass at temperature of 20-25 C by mixing it with electro-chemically activated solution. Extracted mass is subjected to deodorization at temperature of 60-65 C by mixing it with electro-chemically activated solution. Then, fibers are dehydrated and dried at temperature of 55-60 C at preliminary mixing with finished product. Used as electro-chemically activated solution is anolyte at pH of 6.1-6.3 and oxidation reduction potential of +700 mV to +800 mV relative to silver chloride reference electrode which is obtained after treatment of ammonium sulfate solution in anode chamber of diaphragm-type electrolyzer. Use is also made of anolyte at pH of 4.0=5.0 and oxidation reduction potential of from +800 mV to +900 mV relative to silver chloride reference electrode obtained