Provided are a steel-based damping alloy steel sheet having a thickness of 2.0 mm or less which has an excellent damping property of a loss factor of 0.030 or more, and excellent workability, without requiring plenty of elements such as Al, Si, and Cr; 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 has an element composition of C: 0.005% or less, Si: less than 1.0%, Mn: 0.05 to 1.5%, P: 0.2% or less, S: 0.01% or less, Sol. Al: less than 1.0%, and N: 0.005% or less, in terms of % by mass, and the remainder containing Fe and inevitable impurities, an average grain diameter of 50 to 300 μm, a maximum permeability of 4,000 or more, and a residual induction of 1.10 T or less.