Jessop is a surname, and may refer to:
- Bob Jessop (b. 1946), British Marxist theoretician
- Carolyn Jessop (b. 1968), American author
- Charles Minshall Jessop, mathematician
- Christine Jessop, Canadian child murdered in 1984
- Clytie Jessop, British actress
- Craig Jessop, American academic
- Elisha Jessop (1843–1918), Canadian doctor and politician
- Frank Jessop, founder of Jessops of Leicester the Photographic chain
- Flora Jessop, American social activist
- Gilbert Jessop (1874–1955), English cricketer
- Graham Jessop (b. 1957), English marine archaeologist
- Job Dean Jessop (1926–2001), American thoroughbred jockey
- Keith Jessop (b. 1933), English salvage diver
- Peter Jessop (b. 1964), American film actor
- Violet Jessop (1887–1971), ocean liner stewardess and Titanic survivor
- William Jessop (1745–1814), English civil engineer
- Willie Jessop, leader of the Fundamentalist Church of Jesus Christ of Latter Day Saints