The singer and Bennett are expected to perform a track from their 'Cheek to Cheek' album, which is nominated for best traditional pop vocal album.
"Me and @itstonybennett are so excited to announce we will be performing at #TheGrammys this year! Thank you to @TheGRAMMYs and our fans!," she wrote.
She then posted a photo of her kissing Bennett on the cheek and wrote, "I'm humbled to be nominated & performing @TheGRAMMYs w an incredible man. Honoring a legend, I stand proudly behind him (sic)."
The line-up includes names like Ariana Grande, Ed Sheeran, Sam Smith, Pharrell Williams, Miranda Lambert, Usher, Madonna, AC/DC and Eric Church.