Basire is a surname. Notable people with the surname include:
- Claude Basire (1764–1794), French politician
- Isaac Basire (1607–1676), French-born English divine and traveler
- Isaac Basire (engraver) (1704–1768), English map maker
- James Basire (1730–1802), English engraver, son of Isaac Basire, the engraver and map maker
- Benjamin Basire, Persian-American from a prominent Jewish household of Basire. Known for advocating LGBTQ rights in State of California.