The invention relates to a method and a device for drying a polymer, which are used for drying removal of an organic solvent contained in the polymer obtained through oxidative coupling. The method and the device use a high-temperature circulating inert gas to dry the polymer sectionally heated by gradient temperatures and uses a low-pressure circulating inert gas to accelerate the dried polymer to enter a storage bin. The method and the device for drying the polymer not only can avoid dust explosions and simultaneously solve the problem of pipeline blockage caused by bridge formation of powder particles of the polymer, but also have the advantages of low production cost, relatively simple process, less equipment investment and easy continuous production.