The invention provides a method for recovering precious metals from precious metal electronic scraps, which includes the following steps: precious metal electronic scraps are mechanically ground, electrostatically separated and magnetically separated in advance, residual rubber and plastic materials are removed by microwave pyrolysis, microwaves are utilized to indirectly heat precious metal electronic scrap powder, so that the precious metal electronic scrap powder is quickly melted, and thereby precious metals can be sequentially separated and recovered from the lowest melting point of precious metal to the highest melting point of precious metal. The method has the advantages of uniform heating, high speed, energy saving, high efficiency, no pollution and low production cost, and is easy to control. The method also can be used for separating and recovering other ordinary metals with highly different melting temperatures, and is not limited by whether heated materials absorb microwaves or not. The invention also provides a corresponding device, the structure design of the device is reasonable, and the device can help to increase the reaction speed and separate solid from melt in the process of melting precious metals, and is convenient to automatically operate. The invention can recover precious metals in precious metal electronic scraps, so that the resources in scraps can be utilized to the max, and therefore the invention can bring great social and economic benefits.