The 'Promise This' singer will perform her latest single 'Screw You' on the BBC One talent show in November, according to The Sun.
"We are delighted Cheryl has said yes. We hope she will draw even more viewers mid-run," a BBC insider said.
Cole's performance means she will have appeared on both Strictly and rival show The X Factor this year, following her upcoming role as a guest mentor at Judges' Houses with Gary Barlow - to be screened this weekend.
She will also reunite with her Girls Aloud bandmate Kimberley Walsh - who is taking part as a contestant in Strictly Come Dancing - if she is still in the competition at the time.
Walsh recently revealed that Cole "pushed" her into appearing on this year's show.
Watch a lyric video for 'Screw You' below:
Photo gallery - 'Strictly Come Dancing' 2012 - Training gallery: