Strother Madison Stockslager (May 7, 1842 – June 1, 1930) was an American lawyer, Civil War veteran, and politician who served two terms as a U.S. Representative from Indiana from 1881 to 1885.

He served in the Union Army during the Civil War as second lieutenant and captain in the Thirteenth Indiana Volunteer Cavalry, which he had assisted to organize.

He was appointed by President Andrew Johnson as assessor of internal revenue in 1867, but was not confirmed by the United States Senate.

He served as chairman of the Committee on Public Buildings and Grounds (Forty-eighth Congress).

[1] This article incorporates public domain material from the Biographical Directory of the United States Congress