His parents were Costantino Nannetti (b.1805) and Cleonice Puccini (b.1811)
Giocondo Nannetti married Delfina Gutiérrez in 1834 and had 3 children:
- Cleonice Nannetti
- Armida Nannetti (married Jeremías Cárdenas)
- Tancredo Nannetti (married Susana Concha)
In this picture (from left to right): Tancredo Nannetti, Delfina Gutiérrez, Armida Nannetti, Cleonice Nannetti, Giocondo Nannetti