The proposal took place in Mexico over the Thanksgiving weekend.
Their representative Jim Dowd tells People magazine, "The couple has never been happier. They're sharing their joy and excitement with their children and their families."
Burnett, 46, divorced wife Diane in 2003. They have two sons, James, 13, and Cameron, 9.
The couple have been dating since 2004 and plan to wed sometime next year.
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