The invention discloses a method for enriching precious metal by dissolving multi-metal alloy material through nitric acid. The method comprises the steps that the multi-metal alloy material is mixed with the nitric acid, placed in a titanium reaction kettle to be leached, heated to 85 DEG C-95 DEG C and kept for a period of time, when the multi-metal alloy material is concentrated to be in a sticky state, heating is stopped, water with the weight ratio being two to six times of that of the multi-metal alloy material is added at the same time so as to reduce the acidity, and the pH value of an end point is increased by one to three times or so, so that filtrating and separating are conveniently conducted between main metal lead, nickel, copper and the like and the precious metal; after filtering and washing are conducted, leaching liquid and leaching residue are obtained, the leaching liquid contains the lead, the copper and the like and serves as a raw material for recycling the lead and the copper, and the leaching residue contains bismuth, antimony, gold, silver, platinum, palladium and the like; and the antimony is removed through pressurizing and alkali leaching, alkali leaching liquid and alkali leaching residue are obtained after filtering and washing are conducted, and the precious metal enters the alkali leaching residue and effectively enriched. The method for enriching the precious metal by dissolving the multi-metal alloy material through the nitric acid is simple in process, easy to operate, mature in involved production equipment, easy to industrialize, environmentally friendly, low in production cost, high in precious metal enrichment ratio and good in industrialized application prospect.