Francis Ford Coppola was born in Detroit, Michigan, to father Carmine Coppola (1910–1991), a flutist with the Detroit Symphony Orchestra, and mother Italia Coppola (née Pennino; 1912–2004), a family of 2nd degree Italian immigrants. His paternal grandparents came to the United States from Bernalda, Basilicata. His maternal grandfather, popular Italian composer Francesco Pennino, emigrated from Naples, Italy. At the time of Coppola's birth, his father—in addition to being a flutist—was an arranger and assistant orchestra director for The Ford Sunday Evening Hour, an hour-long concert music radio series sponsored by the Ford Motor Company. Coppola was born at Henry Ford Hospital, and those two connections to Henry Ford inspired the Coppolas to choose the middle name "Ford" for their son.
Francis is the middle of three children: his older brother was August Coppola and his younger sister is actress Talia Shire.
Two years after Coppola's birth, his father was named principal flutist for the NBC Symphony Orchestra, and the family moved to New York. They settled in Woodside, Queens, where Coppola spent the remainder of his childhood.
Having contracted polio as a boy, Coppola was bedridden for large periods of his childhood, during which he did homemade puppet theater productions. He developed an interest in theater after reading A Streetcar Named Desire at age 15. He created 8 mm feature films edited from home movies with titles such as The Rich Millionaire and The Lost Wallet. Although Coppola was a mediocre student, his interest in technology and engineering earned him the childhood nickname "Science". He trained initially for a career in music and became proficient in the tuba, eventually earning a music scholarship to the New York Military Academy. In all, Coppola attended 23 schools before he eventually graduated from Great Neck North High School.
He entered Hofstra College in 1955 as a theater arts major. There, he was awarded a scholarship in playwriting. This furthered his interest in directing theater, though his father disapproved and wanted him to study engineering. Coppola was profoundly impressed by Sergei Eisenstein's film October: Ten Days That Shook the World, especially the quality of its editing, and decided to pursue cinema rather than theater. He said he was influenced to become a writer by his brother August. Coppola also credits the work of Elia Kazan for influencing him as a writer and director. Coppola's classmates at Hofstra included James Caan, Lainie Kazan, and radio artist Joe Frank. He later cast Lainie Kazan in One from the Heart and Caan in The Rain People, The Godfather, and Gardens of Stone.
While pursuing his bachelor's degree, Coppola was elected president of the university's drama group The Green Wig, and its musical comedy club, the Kaleidoscopians. He merged the two groups into The Spectrum Players, and under his leadership, the group staged a new production each week. Coppola also founded the cinema workshop at Hofstra and contributed prolifically to the campus literary magazine. He won three D. H. Lawrence Awards for theatrical production and direction and received a Beckerman Award for his outstanding contributions to the school's theater arts division. While a graduate student, Coppola studied under professor Dorothy Arzner, whose encouragement was later acknowledged as pivotal to Coppola's career.