Meanwhile, Beachler - who has previously worked on Moonlight, Creed and Beyonce's Lemonade - paid tribute to Black Panther director Ryan Coogler.
"Marvel may have created the first black superhero but through costume design we turned him into an African king, " Carter said in her speech. "It's been my life's honor to create costumes". The Marvel movie made history by earning $1.346 billion on the worldwide box office.
"Spike Lee, thank you for my start".
However, Ruth E Carter won the award for "Best Costume" for her designs in "Black Panther"; Hannah Beachler and Jay Hart won "Best Production design" for "Black Panther", and Ludwig Goransson won "Best Original Score" for "Black Panther".
"Thank you so much", said Cuarón after accepting his second award of the evening from fellow Academy Award-winning director Guillermo del Toro. Thank you for your trust and understanding my role in telling the African-American story. From the first award on, the hits came steadily, and until Oscar voters blew it with that Best Picture win, the show was on track to becoming one of the Blackest in history.
But it didn't end there: in fact, this year's Oscars broke some serious ground, and made history in several categories.
Even if Black Panther didn't win Best Picture, it still took home three Oscars.
Both Carter and Beachler were the first black women to ever win an Oscar in their respective categories.
"I stand here stronger than I was yesterday", she said. When a powerful enemy suddenly reappears, T'Challa's mettle as king - and as Black Panther - gets tested when he's drawn into a conflict that puts the fate of Wakanda and the entire world at risk.