Tramunti was born October 1, 1910, in the Manhattan borough of New York City to Italian immigrants Rosa DeRosa and Luigi Tramunti; he was raised in a tenement on 107th Street in Harlem. He eventually ran the "Harlem Game", one of the major floating craps games in New York. Tramunti was a beefy man who stood , had a triple chin, and bore a remarkable resemblance to comedian Jonathan Winters. Tramunti's headquarters was The Stage Delicatessen in Manhattan. Tramunti lived in Whitestone, Queens and had a wife and two children. One of Tramunti's sons, Louis, died at age 14.