The 52-year-old former model died peacefully at her home surrounded by her family, including her four children, Young said in a message on Twitter.
A statement from the star’s publicist added: “The singer Paul Young has announced that his wife, Stacey Young, sadly passed away today after a two-year fight with brain cancer.
“Stacey died peacefully at home surrounded by family, friends and her four children: Levi, Layla, Grady and Jude.
Sadly Stacey has passed away today after a 2 year fight with brain cancer. She died peacefully at our home surrounded by family, friends and her four children: Levi, Layla, Grady and Jude
— Paul Young (@PaulYoungParlez) January 26, 2018
“The family respectfully ask for privacy at this time.”
Young met Stacey on the video shoot for his 1983 hit Come Back And Stay.
They married in 1987 and have three children together – daughters Levi and Layla, and son Grady.
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The couple separated in 2006 before getting back together again three years later.
In the time they were apart, Stacey had her fourth child, son Jude, with Israeli businessman Ilan Slazenger.