Flemming is a surname and a male given name referring, like the more common Fleming, to an inhabitant (or descendant thereof) of Flanders, a region overlapping parts of modern Belgium, France, and the Netherlands.
Notable individuals with the surname include:
- Arthur Flemming
- Bill Flemming
- Brian Flemming
- Dave Flemming
- Eric Flemming, actor, "Gil Favor" in Rawhide (TV series)
- Georg Detlev von Flemming (1699–1771), Saxon-Polish general
- Heino Heinrich Graf von Flemming (1632–1706), Saxon and Brandenburg Field Marshal
- Hugh John Flemming
- Ian Flemming
- James Kidd Flemming
- Jane Flemming
- John Flemming (1941–2003), English economist
- Kate Flemming
- Thomas Flemming
- Walther Flemming, biologist
People with the given name Flemming include:
- Flemming Christensen, Danish footballer
- Flemming Flindt, Danish choreographer
- Flemming Hansen (disambiguation), multiple people
- Flemming Povlsen, Danish footballer
- Flemming Rasmussen, Danish producer
- Flemming Østergaard, Danish business man