Bagni is a surname. Notable people with the surname include:

Adam Bagni (born 1984), American journalist and sportscaster Giovanni Francesco Guidi di Bagno (1578–1641), Italian cardinal Gwen Bagni (1913–2001), American screenwriter and TV writer John Bagni (1910–1954), American actor and writer Leonard Bagni (1593–1650), Istrian priest, theologian, philosopher and professor Margherita Bagni (1902–1960), Italian actress and voice actress Ray Bagni (born 1970), American wrestler and promoter, known as Chubby Dudley Salvatore Bagni (born 1956), Italian footballer