Lastaste is a surname. Notable people with the name include:
Alcide-Vital Lataste (1832–1869), French Roman Catholic priest Fernand Lataste (1847–1934), French zoologist Jacques Lataste (1922–2011), French fencer Marie Lataste (1822–1847), French Roman Catholic nun and writer Thierry Lataste (b. 1954), senior French civil servant