The Coldplay frontman was filmed dancing with the 20-year-old after her debut at the Le Bal des Débutantes in Paris.
The singer, 47, was all smiles in a tuxedo as the duo followed steps in sync.
While Martin and Apple spoke to each other on the dance floor, their words could not be made out over the music.
In addition to gushing over the “very proud dad,” many social media users pointed out how much Apple “resembles her mom” and “looks just like” Paltrow.
The college student stunned at the event in a strapless blue Valentino gown with cascading ruffles and a black bow.
She completed her look with an updo.
Paltrow, for her part, attended the ball in a black semi-sheer dress — and posed for a rare photo with her ex-husband as well as son Moses, 18, and mom Blythe Danner.
The former couple were married from 2003 to 2016, welcoming Apple and Moses in 2004 and 2006, respectively.
When the pair separated in 2014, the Goop founder, 52, revealed their plans to “consciously uncouple.”
The exes have since put on a united front on multiple occasions while amicably co-parenting their little ones, from high school graduations to Thanksgiving celebrations.
The actress moved on with Brad Falchuk in 2014, marrying the producer four years later.
When they tied the knot in 2018, Paltrow became the stepmom to Falchuk’s two kids — Isabella and Brody — and all four of their children have now left the nest for college.
Apple attends Vanderbilt University, while Moses is a freshman at Brown University.
As for Martin’s love life, the Grammy winner has been in an on-again, off-again relationship with fiancée Dakota Johnson since 2017.
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