The former model - who has been married to the music star since 1987 - passed away on Friday (26.01.18), aged 52, in the presence of her husband and their three children - daughters Levi and Layla, and son Grady, along with her son Jude.
Rod tweeted: ''My dear Paul Young, my heart goes out to you for your loss. Stacey was warm, wonderful and always got the joke. Much love - Rod.''
And Paul replied, revealing to his fans that Rod was responsible for getting them together.
He tweeted: ''Thanks Rod: still can't believe you recommended the brunette! And you were spot on x.''
Actress Patsy Palmer tweeted: ''Hey Paul. I'm so sad and very sorry for your loss. I loved Stacey she was a beautiful angel inside and out . You are all in my prayers.''
Martin Kemp wrote: ''Love going out to Paul Young and family tonight... So sad to hear Stacey lost her battle today! Our thoughts and love are with you all Mx''
And Rolling Stone rocker Ronnie Wood's former wife Jo called Stacey a ''lovely woman''.
Paul later wrote on Twitter: ''Twitter keeps jamming with your lovely messages so I can't get to read them all! But I appreciate every one x.''
Young met Stacey on the video shoot for his second single, 'Come Back and Stay', in 1983, and they tied the knot four years later when they were living together in Los Angeles.
The couple split in 2006 and she subsequently had a fourth child, son Jude, with Israeli businessman Ilan Slazenger.
But they reconciled in 2009 and Young eventually became Jude's step-father.
Young admitted earlier this year that his wife needed to be ''pretty strong'' to be married to a rock musician.
The British star reflected: ''There was no point Stacey saying 'wait until your father gets home' as that could be three months as I was always away.
''I did take a bit of a break from touring when Levi was born as I felt I wanted to be home with them, but then I went back to it.''
Young also claimed that the couple had defied expectations by making their romance last.
Speaking in February 2017, he said: ''Ten years ago, Stacey and I split up as things weren't working for either of us but then three years later we got back together again. I know of other people who have got back together and it hasn't lasted, but we have kept at it.
''During the split, Stacey had a son, Jude, who is now 10. He lives with us, as well as spending time with his dad. Jude adores his older brother and sisters and always gets so excited when Grady is coming home from university.''
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