Giovanni Battista Vanni (c. 1599 – 27 July 1660) was an Italian painter and engraver of the Baroque period.
Vanni was born in either Pisa or Florence around 1599; he studied successively under Jacopo da Empoli, Aurelio Lomi, and Matteo Rosselli, and then became a disciple of Cristofano Allori. He is better known as an engraver than as a painter. From 1624 to 1632, he lived in Rome, before returning to Florence after visiting Venice.