Close said she was actually "thrilled" they tied because the world and the industry often "pits us against each other" instead of bringing women together.
"I think I can speak for all the women in this room: We celebrate each other,” the legendary actress and "The Wife" star said.
Gaga, who has also been very outspoken about women supporting one another, was noticeably shaken up in a great way after her name was announced as co-winner.
"I’m so very happy that you won this," she said, as the two embraced on the stage.
Gaga also made sure to thank her "A Star Is Born" co-star and director, Bradley Cooper, not just for his talent, but for being a "magical" human being as well.
Gaga and Close weren't the only tie of the night, either! Amy Adams and Patricia Arquette both won for Best Actress In A Limited Series Or Movie Made For Television.
They also stood on stage in embrace, supporting each other.