The proposal took place in New York City on Thursday evening (Jan. 21), according to PEOPLE.
Carey, 45, and Packer, 48, an Australian businessman, met at the Hercules premiere in July 2014.
“He’s just an incredible guy. He really is a good person, and that’s hard to find,” Carey told “Access Hollywood.” “I think anybody that’s a friend of his would say the same thing, if not more, so I can’t say enough nice things about him. He’s just a spectacular guy.”
They made their red carpet debut at The Intern premiere in September 2015 after being spotted on an Italian vacation in June.