Bostic is a surname. Notable people with the surname include:
- Caleb Bostic, American football linebacker
- Earl Bostic (1913–1965), American saxophonist
- Jameson Bostic, American boxer
- Jason Bostic, American football defensive back
- Jeff Bostic, American football player
- Jenn Bostic, American Country and Western singer and songwriter
- Jim Bostic, American basketball player
- Joe Bostic, American football offensive lineman
- John Bostic, American football defensive back
- Jon Bostic, American football linebacker
- Keith Bostic (American football) (born 1961), American football player in the NFL
- Keith Bostic (software engineer), American computer programmer
- Raphael Bostic (born 1966), American economist
- William Chivous Bostic Sr., American physician