Irby is a surname. Notable people with the surname include:
- Anthony Irby (died 1625), English Master of Chancery, Recorder and MP of Boston
- Anthony Irby (1577–1610), English politician
- Anthony Irby (1605–1682), English Member of Parliament for Boston
- Charles Irby, software architect
- Charles Leonard Irby (1789-1845), explorer and writer, son of Frederick Irby, 2nd Baron Boston
- Edward Irby (1676–1718), English Member of Parliament
- Frederick Paul Irby (1779–1844), Royal Navy officer and son of Frederick Irby, 2nd Baron Boston
- Henry Irby (1807–1879), founder of Buckhead, Atlanta, Georgia
- Howard Irby (1836–1905), British ornithologist and army officer
- John L. M. Irby (1854–1900), US Senator representing South Carolina
- John R. Irby, editor of the Bismarck Tribune
- Joyce Irby, bassist and co-lead vocalist of Klymaxx
- Lee Irby (born 1963), American novelist and historian
- Leonard Irby (by 1522-1571), English MP
- Lynna Irby (born 1998), American sprinter
- Kenneth Irby (1936–2015), American poet
- Margaret Irby (1884–1950), English socialite, Countess of Kimberley
- Michael Irby (born 1972), American film and television actor
- Nathan Irby (born 1931), American former politician
- Paulina Irby (1831–1911), British travel writer, suffragist and philanthropist
- Samantha Irby, African-American blogger, comedian and author
- Sherman Irby, jazz alto saxophonist