TV personality Myleene Klass wrote: "The news of beautiful Peaches is utterly devastating, God bless her babies. RIP mama xxx"
Topshop heiress and designer Chloe Green tweeted: "Such sad news, my heart breaks for her beautiful children RIP Peaches, a wonderful soul, Let us all allow her family to grieve in peace"
Burn hitmaker Ellie Goulding wrote: "Even if you think you've got it all figured out, some things still can't be explained or understood. Two beautiful children. RIP Peaches"
British singer Sam Smith tweeted: "So so sad about Peaches Geldof. Thoughts with all of her family"
Model Daisy Lowe, who is close friends with Peaches' sister Pixie Geldof, simply shared a picture of a broken heart.
The second eldest daughter of Irish rocker Bob Geldof, Peaches was 11 when her mother Paula Yates died from a heroin overdose in 2000.
In her last social media message, Peaches posted a picture of her as a child with her mother.
Her death is currently being treated as unexplained and sudden by police.
- Bang! Showbiz