Born in Prato, Nuti began his professional career as an actor in the late 1970s, when he formed the cabaret group Giancattivi together with Alessandro Benvenuti and Athina Cenci. The group took part in the TV shows Black Out and Non Stop for RAI TV, and shot their first movie, Ad ovest di Paperino (1981), under Benvenuti's direction,
The 1990s were however a period of decline for the Tuscan director, with poorly successful movies such as Occhio Pinocchio (1994), Il signor Quindicipalle (1998), Io amo Andrea (2000) and Caruso, zero in condotta (2001). In the following years Nuti also started to suffer from depression and alcoholism. Just before returning to direct a movie (Olga e i fratellastri Billi), on 2 September 2006 he was admitted to the hospital Policlinico Umberto I in Rome, after a severe fall.