The 45-year-old actress also hinted that Apple may follow in her musician father, Chris Martin's footsteps, adding: "You are an unbelievable thinker and an incredible songwriter". But you can also see a little of her daddy, Coldplay singer Chris Martin, in there.
Her dirty blonde hair was swept back into a bun, and the daughter of Blythe Danner stood in front of a gleaming set of gold-tinted metallic curtains.
In 2014, the pair called time on their relationship, with Gwyneth describing their separation as a "conscious uncoupling".
The Contagion actress captioned the snap: 'Happy birthday, my darling girl.
Unsurprisingly, the former couple's son Moses also looks like an exact replica of his parents, as Paltrow demonstrated with a similarly rare snap of him last month for his 12th birthday. "Happy birthday! what a beauty!"
We've taken a look at some of the most high-profile break ups in showbusiness.
Despite the fact that Martin and Paltrow divorced nearly two years ago, and recently Gwyneth and all married, they managed to keep warm and friendly relations and regularly spend time together with children.
Originally posted on SheKnows.