Abbe is both a surname and a given name. Notable people with the name include:
Surname:- Cleveland Abbe (1818–1916), American meteorologist
- Cleveland Abbe, Jr. (1872–1934), American geographer
- Ernst Abbe (1840–1905), German physicist
- James Abbe (1883–1975), American photographer
- Kathryn Abbe (1919–2014), American photographer
- Kenshiro Abbe (1915–1985), Japanese martial artist
- Moe L'Abbé (born 1947), Canadian hockey player
- Robert Abbe (1851–1928), American surgeon and radiologist
- Truman Abbe (1873–1955), American surgeon
- William Abbe (1800–1854), Iowa state senator