The invention relates to a carbonate eater high-molecular polymer two-stage indirect drying system. The system comprises a paddle dryer, a steam pipe dryer and an alkali washing tower. The paddle dryer is provided with a feed port, a tail gas exhaust port, a second-grade dried tail gas input pipe, saturated steam input pipes I and II, steam condensed liquid discharge pipes I and II, and a dried material discharge port; the tail gas exhaust port is connected with a cloth bag dust remover I; the alkali washing tower is connected with a water sealing tank, and is provided with a spraying pipe, awaste gas exhaust pipe I and a waste water discharge pipe; the dried material discharge port is connected with a cloth bag dust remover II; one end of the steam pipe dryer is connected with a feedingcyclone, and a saturated steam input pipe III, a steam condensed liquid discharge pipe III, a product discharge pipe and a steam inlet are arranged at the other end; the steam inlet is connected witha steam heater and the second-grade dried tail gas input pipe; and the steam heater is provided with the saturated steam input pipe III and a steam condensed liquid discharge pipe IV, and one side isconnected with a fine filter and a rough-effect filter. The invention further discloses a drying process of the system. The system is excellent in drying effect and free of pollution.