Horsburgh is a surname. Notable people with the surname include:
- James Horsburgh (1762–1836), Scottish hydrographer
- John Horsburgh (1791–1869), Scottish engraver
- Lynette Horsburgh (born 1974), Scottish semi-professional pool and snooker player
- Margaret Horsburgh (born 1943), New Zealand academic
- Wayne Horsburgh, Australian country music entertainer