Born in San Giuseppe Vesuviano, Province of Naples, Miranda immigrated with his family to the United States in 1905 and settled in New York.
During Prohibition, Miranda became an associate of Gaetano "Tommy Brown" Lucchese and was affiliated with the Reina crime family of the Bronx.
In the 1940s, Miranda used his former ties with Lucchese as a stepping stone in becoming the Luciano family's overseer of their activities in Manhattan's Garment District.
While serving his sentence, Genovese placed the family under the leadership of a "Three Man Ruling Panel", made up of acting boss Thomas "Tommy Ryan" Eboli, Catena, and Miranda.
In October 1965, the New York Police Department (NYPD) arrested Miranda and Eboli for parole violations of consorting with known criminals, but all the men were released within a week.