The singer – who famously recorded the duet 'When You Believe' with Houston - was among the many stars in attendance at her funeral service on Saturday (February 18) at New Hope Baptist Church in New Jersey.
Carey has now compiled highlights of her favourite memories of Houston on her official YouTube page.
The specially-produced video includes clips from their 'When You Believe' music video as well as pictures of the two stars together at awards shows and red carpet events.
Carey also posted the video remembrance on her Twitter, writing: "Whitney, my friend, I love you, I miss you. Your legend lives on forever."
The two stars were admitted rivals as their careers took off in the early 1990s, but later became friends when they recorded 'When You Believe' for the 1998 film The Prince of Egypt.
'When You Believe' reached the top five of the UK chart and also hit the top 20 in the US.
Carey was among the many stars who blogged about Houston in the hours after her death on February 11.
She tweeted at the time: "Heartbroken and in tears over the shocking death of my friend, the incomparable Ms. Whitney Houston. My heartfelt condolences to Whitney's family and to all her millions of fans throughout the world.
"She will never be forgotten as one of the greatest voices to ever grace the earth."
More Whitney Houston Coverage:
> Whitney Houston 1963-2012: Reactions
> Whitney Houston 1963-2012: Obituary
> Whitney Houston: A life in pictures
> Whitney Houston: Greatest musical achievements - pictures
> What is Whitney Houston's best song? Poll
> Clive Davis dedicates pre-Grammy party to Whitney Houston
> Whitney Houston to dominate singles, album charts next week
> Bobby Brown: "I love you, Whitney"
Watch Whitney Houston and Mariah Carey's 'When You Believe' music video below: