The invention discloses a gas-containing-coal multistage permeability increasing method. The gas-containing-coal multistage permeability increasing method includes the steps that firstly, the geological conditions of a coal seam hosting region, the coal metamorphism degree, the coal class and gas parameters are determined; secondly, according to whether a coal seam is located at a fault portion or a fold portion, different schemes are adopted to achieve first-stage permeability increasing of gas containing coal and detect the permeability increasing effect, and if a preset effect is achieved, permeability increasing of the whole coal seam is carried out with the first-stage permeability increasing scheme; thirdly, if the preset effect is not achieved, on the basis of the first-stage permeability increasing, second-stage acidification permeability increasing is carried out on the gas containing coal; finally, after the second-stage acidification permeability increasing is completed, gas extraction is carried out on the gas containing coal. According to the gas-containing-coal multistage permeability increasing method, different permeability increasing schemes are formulated according to the geology of different coal-seam hosting regions, and high pertinence is achieved; meanwhile, after multistage permeability increasing is adopted, the gas permeability of the coal seam is greatly improved, and the gas extraction rate is increased.