Nigel Palin Greenwood (28 May 1941 – 14 April 2004) was a British art dealer.
Nigel Greenwood was born in Plymouth and educated at Christ Church, Oxford (reading history) and at the Courtauld Institute (art history). He started his career in the art world at the Axiom Gallery in London. In 1968 he participated in the exhibition "Prospect" in Düsseldorf.
In 1970 he started his own gallery at 60 Glebe Place, Chelsea, where he presented work by Gilbert & George (the famous "Underneath the Arches/Singing Sculptures" performance), Keith Milow, John Walker, Ed Ruscha and Mino Argento.
In 1971 the gallery established itself at 41 Sloane Gardens. Alongside the Lisson, the Situation gallery and Jack Wendler, Nigel Greenwood Inc Ltd, as the gallery was named, became the fourth London gallery to play a crucial part in introducing emerging artists to the art world. Greenwood enjoyed visiting the studios of younger artists, and presenting their work in solo shows. Gilbert & George, Keith Milow, David Tremlett, Rita Donagh, Alan Johnston and later Christopher le Brun, and Dhruva Mistry all showed first with Greenwood. He also worked with American artists, like Bruce Nauman and Ed Ruscha, German artists Bernd and Hilla Becher and the Italian artist Mino Argento.