Please note that this is the Narutopedia's article on the anime-only Fūma clan from the Land of Sound. If you are looking for the article on the Fūma clan from the manga then you should head to Fūma Clan.
The Fūma clan (ふうま一族, Fūma Ichizoku) is a shinobi clan from the Land of the Rice Fields, where Orochimaru established the Land of Sound. The clan specialises in using chakra threads and also have a large number of shinobi trained in archery. It also have a number of hiden techniques, including the Curse Mandala. The clan split into two factions where some of their most powerful members were tricked by Orochimaru, who promised to restore their clan's status, and were used in his kinjutsu development experiments. The other faction became involved in criminal activity and were considered traitors by the rest of the clan.
The name "Fūma" (ふうま) is usually written in hiragana. However, in episode 137, a banner saying "Fūma Lane" (風馬小路, Fūma Kōji) is shown. Here, the name Fūma is written with the kanji for "wind" and "horse". Regardless of how it is written, the name likely stems from the real-life ninja clan founded by the legendary Fūma Kotarō. This clan's name is written the same as the manga's Fūma clan's name, 風魔 ("Wind Demon").
In the manga, another Fūma clan features. The manga's Fūma clan are the creators of the Fūma Shuriken and one of their members became a body of Pain. It is unknown whether the Fūma clan from the anime and the manga are the same, but it is unlikely, since the names are written differently and the clans' descriptions differ.