Arthur Milton Brown (October 14, 1884 – November 20, 1980) was an American football and basketball coach.
He served as the head football coach at the DePauw University from 1907 to 1909, Grinnell College from 1910 to 1912, and Middlebury College from 1918 to 1920 and again in 1945, compiling a career college football coaching record of 34–29–7.
Brown was also the head basketball coach at DePauw from 1907 to 1910 and four stints at Middlebury (1918–1919, 1920–1922, 1942–1942, 1945–1946), tallying a career college basketball coaching mark of 33–64.
Brown was a graduate of Williams College.