The present invention provides coupling multistage apparatus with active carbon to purify waste gas, and the apparatus is used in desulfurizing, denitrating, dedusting, eliminating heavy metal and eliminating organic compound of waste gas. It consists of pre-purifying room, movable adsorption bed, purified gas outlet, material feeding mechanism, and discharging mechanism. Each of the material feeding mechanism and the discharging mechanism consists of material bin, material guide pipe and gas trap valve. The movable adsorption bed consists of one or several adsorption sections superposed sequentially, the material feeding mechanism is set on the top, the discharging mechanism is set in the bottom, and the pre-purifying room and the purified gas outlet are set in the side. The apparatus has compact structure, simple material distribution, complete functions, less resistance, high purifying effect, fully use of active carbon, long service life and low running cost.