The invention provides a continuous treatment method for dye industry acid wastewater. The method includes the steps of A, primary decoloring, wherein the sulfuric acid or hydrochloric acid containing acid wastewater generated in the production process of the dye industry continuously enters the bottom of a granular activated carbon adsorption column, adsorption decoloring is conducted from bottom to top, and primarily-decolored liquid is obtained; B, neutralizing, wherein the primarily-decolored liquid is neutralized to the state that the pH value ranges from 2.5 to 7, and neutralized liquid is obtained; C, secondary decoloring, wherein the neutralized liquid continuously enters the bottom of the granular activated carbon adsorption column, secondary adsorption decoloring is conducted from bottom to top, and secondarily-decolored liquid is obtained; D, concentration and crystallization; E, activated carbon regeneration, wherein saturated granular activated carbon discharged in the step A and the step C is washed with water to the state that the pH value ranges from 2 to 7, then the washed saturated granular activated carbon is fed into a regeneration system to be regenerated, the regenerated granular activated carbon enters the granular activated carbon adsorption column to be recycled, but tail gas generated by the regeneration system is absorbed by a tail gas tower.