It's possible you're thinking of:
* The Untouchables (1959-1963): This was a popular TV series about Elliot Ness and his fight against Al Capone's Chicago Outfit. While Frank Nitti was a major figure in the Outfit, there was no specific "Frank Nitti Story" episode.
* The Untouchables (1987): This was a film based on the TV series but again, there was no specific "Frank Nitti Story" film.
If you have more information, please clarify your question.