The invention relates to a continuous production method for separating an acetic acid from water by azeotropic distillation, which mainly solves the problems of a solvent dehydration tower in the prior art, such as limitations to control methods, incapability of realizing automatic control when a feeding flow is significantly changed, and a large amount of entrainer circulation loss produced withthe change of a feeding load. In the method, uniform cascade control is performed on the liquid level of the feeding flow, passing through an acetic acid intermediate tank, of a rectifying tower; when the feeding flow of the rectifying tower is larger than the lower limit of the elastic operating range of the tower, feeding flow forward control is performed on the refluxing of water and oil phases at the top of the tower; and when the feeding flow reaches or is smaller than the lower limit of the elastic operating range, constant-flow control is performed on the refluxing of the oil phase at the top of the tower, and feeding flow proportional control is performed on the refluxing of the water phase. In the technical scheme, the problems are better solved; and the continuous production method can be applied to the industrial production of separating the acetic acid from the water by the azeotropic distillation.