The pair were at the Sundance Film Festival for the premiere of Braff's Wish I Was Here, and began exchanging tweets.
For those of you asking, @Harry_Styles is a dynamite spooner.
— Zach Braff (@zachbraff) January 21, 2014
In response, Styles revealed that he cried while watching the film.
Today I watched @WIWHFilm. I wasn't crying, I had sweaty eyes. Loved it.
— Harry Styles (@Harry_Styles) January 19, 2014
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Braff has previously said of Styles: "I would wine and dine him, although he's probably not legal to drink so I would buy him the sexiest Diet Coke he's ever had."
Last month, the pair tweeted a picture of a "romantic candlelit dinner".
Braff directed Wish I Was Here, in which he also stars as a struggling actor trying to find the purpose of his life.
In order to make the film, the ex-Scrubs actor raised $3 million (£1.82 million) through a Kickstarter campaign.
Wish I Was Here was bought by Focus Features at the Sundance Festival for approximately $2.75 million (£1.67 million).
