Breese Jacob Stevens (March 22, 1834 – October 28, 1903) was an American politician and lawyer who served as the 20th mayor of Madison, Wisconsin, from 1884 to 1885.

He graduated from Hamilton College in 1853, studied law with attorneys including Timothy Jenkins, and was admitted to the bar.

In 1857 he moved to Madison to manage the business interests of two of his relatives, Sidney Breese and Horatio Seymour.

In addition to practicing law, he was involved in banking and other businesses, and he was active in numerous civic organizations, including the Wisconsin Historical Society.

A Democrat, Stevens turned down several opportunities to run for office until 1884, when he ran successfully for Mayor of Madison.