The 21-year-old announced the news in a Twitter post writing, "Happily Married So In Love... If you didn't get it the first time that is."
She also attached a photo of her ring with the post.
Brown revealed in an episode of "The Houstons: On Our Own" in October 2012 that she got engaged to Gordon. The couple then called it quits, but they were back together in July 2013.
Gordon, 24, was raised by Houston and grew up with Bobbi but she has denied that her mother had adopted Gordon.
"Let me clear up something, we aren't even real brother and sister nor is he my adoptive brother. My mom never adopted him. In fact, mommy was the one who even said that she knew that we were going to start dating. My mom knows me better than any of you," she had said.