Jessup may refer to people real or fictional:
- Edward Jessup, a political figure in Upper Canada, a former British province in what is now Canada
- Edward Jessup, Jr., son of Edward Jessup
- Edward Jessup III, grandson of Edward Jessup
- Hamilton Dibble Jessup, brother of Edward Jessup III
- Philip Jessup, a World Court Justice between 1961 and 1970
- Marion Jessup, a female tennis player
- Morris K. Jessup, a writer on the subject of Unidentified Flying Objects (UFOs)
- Nathan Jessup, a fictional colonel in the film A Few Good Men
- Ted Jessup, an American television writer, producer, and performer.
It may also refer to places:
- Jessup, Maryland, United States
- Jessup, Pennsylvania, United States
- Lake Jessup, Orlando, Florida, United States
Other uses:
- Philip C. Jessup International Law Moot Court Competition