Born in Pistoia. He started learning from a poorly known landscape painter, Salomon Boccali. But at age 15, he moved to Rome, where he was one of the main pupils of Andrea Sacchi. He is also often referred to as Ludovico Garzi. In 1680 Garzi was appointed Regent of the Congregazione dei Virtuosi al Pantheon, the papal society of painters. Garzi joined Rome's guild of painters, The Accademia di San Luca, in 1670 and became a director in 1682.
He painted a Triumph of St Catherine & Saints for the church of Santa Caterina a Magnanapoli in Rome. He painted a St Silvestro shows Constantine portraits of Saints Peter and Paul for Santa Croce in Gerusalemme. In the early 1680s, he contributed to the frescoes on the vault of San Carlo al Corso, where his works included an Allegory of Faith. He also completed a fresco depicting the Glory of the Eternal Father (1686) for the dome of the Cybo Chapel in the church of Santa Maria del Popolo. He was one of the painters who contributed to the series of paintings depicting events from classical mythology displayed in the Palazzo Buonaccorsi in Macerata; his contribution is a Venus in the Forge of Vulcan. He also painted for San Silvestro in Capite and the Chiesa delle Santissima Stimmate di San Francesco. He contributed a canvas to the Cagli Cathedral.
- Elisa Debenedetti, Garzi, Luigi, in: Allgemeines Künstlerlexikon, vol. 59, de Gruyter, Berlin 2006, p. 496.
- Farquhar, Maria (1855). Ralph Nicholson Wornum (ed.). Biographical catalogue of the principal Italian painters. Woodfall & Kinder, Angel Court, Skinner Street, London; Digitized by Googlebooks from Oxford University copy on Jun 27, 2006. p. 70.
-  Getty Museum biography]
- Lione, Pascoli (1736). Vite de pittori, scultori, ed architetti moderni. Antonio de' Rossi, Strada del Seminario Romano, Rome. pp. 235–245.
- Pascoli. L. page 238
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