Bati was born and died in Florence. He was maestro di cappella of Pisa Cathedral (1596) and then of the Medici Court and Florence Cathedral (from 1598-1599). His dramatic music for Medici weddings and Florentine carnivals is lost but his surviving madrigals (1594, 1598) and sacred works are of high quality though not notably progressive.
D. S. Burchart. "Luca Bati and the Late Cinquecento Madrigal in Florence." In Musicologia humana: studies in honor of Warren and Ursula Kirkendale, edited by S. Gmeinwieser, D. Hiley, and J. Riedlbauer, 251-273. Florence: Olschki, 1994. ISBN 88-222-4234-3
F. D'Accone. "The Sources of Luca Bati's Sacred Music at the Opera di Santa Maria del Fiore." In Essays on Italian Music in the Cinquecento, edited by R. Charteris, 159-177. Sydney, 1990. ISBN 0-949269-99-9
P. Gargiulo. Luca Bati, madrigalista fiorentino. Florence: Olschki, 1991. ISBN 88-222-3859-1