Their latest hit song "Dynamite" was nominated for the Best Pop Duo/Group Performance category, alongside stars like Lady Gaga and Taylor Swift.
The group posted a reaction video on Twitter, showing them cheering when their nomination was announced.
K-pop expert Jeff Benjamin tweeted that the Grammy nomination was a "huge long-awaited moment in their careers".
He added that it marked a major moment for diversity for "music's biggest night" - which will be held on 31 January.