The song was released in August 1981 and was the group's third single, following on from their win at the Eurovision Song Contest earlier in the year. The single reached No.20 in the UK Charts and remained in the top 75 for 10 weeks. "One of Those Nights" featured on the group's debut album, "Bucks Fizz", which was released two weeks earlier. In the US and Canada, the song was included on their debut release there in 1982. "The Montreal Gazette" singled this song out for praise calling it "stunning" and commended its use of "full four-part harmony as its main theme". In 2015 Music-News.com said that it was "classy".