Provided is a steel-based damping alloy steel sheet having a thickness of 2.0 mm or less which has excellent damping property, its loss factor being 0.040 or more, without expensive elements such as Cr and Co added; and a method for producing the same. Further provided is a damping alloy steel sheet having a thickness of 2.0 mm or less which contains at least one of the following elements in the following concentrations; C: 0.005% or less, Mn: 0.05 to 1.5%, P: 0.2% or less, S: 0.02% or less, N: 0.005% or less, Si: 1.0 to 3.5%, and Sol. Al: 1.0 to 7.0%, in terms of mass, the remainder being Fe and inevitable impurities, and has an average grain diameter of 50 to 500 μm, a maximum permeability of 2,000 or more, and a residual induction of 0.90 T or less.