Bagby is a surname. Notable people with the surname include:
Andrew Bagby, murdered by his former partner in 2001
Anne Luther Bagby (1859-1942), American Baptist missionary from Texas.
Arthur P. Bagby (1795–1858), governor of Alabama
Arthur P. Bagby, Jr. (1833-1921), American lawyer, editor, and Confederate general
Benjamin Bagby, American singer and composer
George Bagby (author) (1906-1985), American author
George Bagby (Wyoming politician) (born 1937), American politician
George William Bagby (1828–1883), American librarian and writer
Hank Bagby (1922–1993), American jazz musician
Jim Bagby, Jr. (1916–1988), American baseball player
Jim Bagby, Sr. (1889–1954), American baseball player
John C. Bagby (1819–1896), U.S. Representative from Illinois
Larry Bagby (born 1974), American actor and musician
Meredith Bagby, American writer
R. Michael Bagby, Canadian psychologist
Rachel Bagby (born 1956), American performance artist