The film, directed by Damien Chazelle, is widely tipped to be an Oscar frontrunner.
The top award was the only win for the musical drama where "Manchester by the Sea" and "Moonlight" won three trophies each, according to the Hollywood Reporter.
"Manchester" won the best actor award for Casey Affleck, best screenplay for Kenneth Lonergan and best supporting actress for Michelle Williams, who also was recognized for her work in "Certain Women".
Barry Jenkins was recognised as the best director for "Moonlight", which also won best supporting actor for Mahershala Ali and best cinematography (James Laxton).
"O.J.: Made in America" continued its winning streak in the documentary category.
"Zootopia" was named best animated film. "Toni Erdmann" was selected as best foreign-language film, and best first film was a tie for the Hailee Steinfeld-starrer "Edge of Seventeen" and indie drama Krisha".