The performances are listed as starting on January 21 and will run until April 16.
She follows in the footsteps of other famous faces including Celine Dion, Sir Elton John, Usher and Sir Rod Stewart, who have all performed at the venue.
Last week, the 33-year-old singer earned the fastest-selling album of 2021 in the first week of its release and is on course for a second week at the top of the charts, according to the Official UK Charts Company.
The Easy On Me singer, who now lives in Los Angeles, recently returned home to film An Audience With Adele, which was recorded at the London Palladium and aired on ITV this month.
It was recorded in front of an A-list audience, with guests including Dame Emma Thompson, Jodie Comer, Samuel L Jackson, Years And Years star Olly Alexander and Boy George.
During the TV special, she performed songs from her new album, as well as older tracks and also answered questions from famous fans.
It followed her sit-down with American chat show host Oprah Winfrey for a two-hour special, which was broadcast on American network CBS the week before.
The special was comprised of an exclusive interview as well as a pre-recorded live performance.
The singer discussed a range of topics such as her son Angelo, her father’s death and her dramatic weight loss during the interview, which was filmed in the same rose garden where Winfrey conducted her headline-grabbing interview with Harry and Meghan earlier this year.
Adele is set to return to her home turf of London next year in huge sell out performances to coincide with her new album,30, which was just released.