Young got down on one knee and popped the question at her on his 30th birthday, to which she said "Yes!", reported People magazine.
Karen Civil, who was a guest at the party, captured the special moment on a video she posted on Twitter.
The "Real" host Jeannie Mai was also at the bash and shared a pic of the happy couple on Instagram,
Young recently said in an interview that he was planning something special for Azalea's 25th birthday on June 7 and insisted that "of course" there would be a wedding in the near future.