Abstract: A pulp with ph=9.5 to 11.5, resin, and cyanide KCN is fed to a reaction zone. KCN is in a concentration of CN.sup.- ions in the liquid phase of the pulp from about 0.1 to about 10 g/l, which is maintained constant. The sorbent is in an amount providing its concentration 1 to 1.5% of the reaction zone volume. The leaching procedure produces a sorbent with impurities and rich in gold and silver, and a cyanic pulp depleted of gold and silver. Then, the sorbent rich in gold and silver is separated from the cyanic pulp. The saturated sorbent with impurities is processed in the desorption zone in two stages by passing therethrough a sulfuric acid solution of thiourea, the volume of the solution comprising 10 to 15 volumes of said sorbent. The sulfuric acid solution of thiourea is in an amount of 30% to 50% of said solution volume. A sulfuric acid solution of thiourea rich in gold and silver and a sorbent depleted of gold, silver and impurities is obtained.