There 2 artists going by the name of Washington:

(1) A singer-songwriter from Australia
(2) A indie pop band from Norway

1. Washington
Megan Washington is a popular Australian musician and songwriter who records and performs under the single moniker Washington. She sings and plays piano and guitar.

Before embarking on a solo career, Washington has toured as the keyboardist and backing vocalist for artists including Old Man River and Ben Lee. In late 2008 she launched her current band, Washington, with Lance Ferguson (The Bamboos), John Castle, Des White, Ross Irwin and Ryan Monro (The Cat Empire, Jackson Jackson) on bass. The band released their debut EP, Clementine, in 2008. In November 2008 they were announced as Triple J's Unearthed winners and performed at the Melbourne Big Day Out. This was followed by the release of a second EP, How To Tame Lions in September 2009. Following appearances on popular Australian TV shows 'Spicks and Specks', 'Good News Week' and 'RocKwiz', Washington attracted the attention of a wider audience.

In December 2009 she won the inaugural Vanda & Young Songwriting Competition for her song, "How to Tame Lions". Washington received six 2010 ARIA Music Awards nominations which include "Album of the Year" and "Best Adult Alternative Album" for I Believe You Liar, "Single of the Year" ("How To Tame Lions"), "Best Female Artist" and "Breakthrough Artist".

2. Washington
Washington is the Norwegian indie band now known as Mount Washington, hailing from Tromsø, Norway, but now based in Berlin, Germany.

Founding members of the group are singer/songwriter and guitarist Rune Simonsen, drummer Esko Pedersen and bassplayer Andreas Hoyer. Their music can be referred to as Saybia or Coldplay-like, with melancholic and melodic guitars and piano's, but they're not afraid to experiment on occasions.

They released three albums as Washington: A New Order Rising (2004), Astral Sky (2007) and Rouge / Noir (2008).

In 2011, coinciding with the recording of their fourth album, the band changed their name into Mount Washington. The self-titled 'début album' under the new band name was released in early 2012.