The country singer - who beat breast cancer in 2006 - has praised Angelina for speaking openly about her decision to undergo the operation after she was found to be carrying the BRCA1 cancer gene, which gives her an 87 per cent chance of developing breast cancer and a 50 per cent risk of ovarian cancer.
In a post on Twitter, Sheryl said: ''I commend Angelina Jolie for her courage and thoughtfulness in sharing her story today regarding her mastectomy. So brave!''
The 51-year-old musician was given the all-clear after undergoing a lumpectomy and six-and-a-half weeks of radiation treatment in 2006, and she now hopes Angelina's moving story will inspire other women to get checked out.
Sheryl tweeted: ''Ladies, please check out Angelina Jolie's story today, especially if you have breast cancer in your family history.''
A host of other female celebrities including Kristen Bell and Dita Von Teese have also expressed their admiration for the 37-year-old actress, who revealed she'd had the operation in a moving article for the New York Times.
'The Hunger Games' actress Elizabeth Banks shared a link to the story with her Twitter followers.
She added: ''Much respect & for sharing in classy way: Angelina Jolie on why she had a double mastectomy & how it can save lives (sic)''
Burlesque beauty Dita did the same, posting: ''Angelina's admirable, informative letter, a must-read.''
In the piece, Angelina praised her fiancée Brad Pitt for his support throughout the ordeal and revealed she'd made the difficult decision so her children - Maddox, 11, Pax, nine, Zahara, eight, Shiloh, six, and four-year-old twins Knox and Vivienne - wouldn't have to see get ill with cancer.
The 'Tomb Raider' star lost her own mother Marcheline Bertrand at the age of 56 to ovarian cancer in 2007.