Gaga and the Zero Dark Thirty actor have been dating on and off since 2011. They met whilst recording her video for You And I – a song about an ex-boyfriend of hers.
US reports say they celebrated in New York restaurant Joanne’s Trattoria, owned by Gaga’s family.
The couple have been inundated with messages from their fans congratulating them on the news, with the hashtag #CongratsGagaAndTaylor trending moments after their happy news broke.
We will be watch to see what her wedding dress will look like! You know what I mean? lols