Famous for his sports journalism work for the New York Journal-American and the New York Sun, Graham is also remembered for his written histories of New York City professional sports teams and for his biographies of baseball players
After dropping out of high school, he became an amateur boxer and held a day job with the New York Telephone Company. He began his writing career as a journalist for Boxing magazine.
In the late 1990s, he was honored with a posthumous A.J. Liebling Award from the Boxing Writers Association.
A native of East Harlem, New York, he grew up in the care of his sister and his grandmother (his mother had passed away while giving birth to him). His marriage to Gertrude Whipp resulted in four children, including a writer son named Frank Graham, Jr.
He penned a 1945 biography of New York governor Al Smith.