The singer, whose real name is Jasmine van den Bogaerde, premiered the clip over the weekend following its surprise chart success last month.
The promo, directed by Sophie Muller, sees the 14-year-old walking around an abandoned house and also playing the piano. The video marks the first time the public have seen the Birdy.
The track - a cover of Bon Iver's 2008 hit - entered the singles chart at number 25 in March and has so far peaked at number ten on the iTunes download tally.
Her debut album is due out later this year.
Watch the video for Birdy's rendition of 'Skinny Love' below: