Grammer, 55, filed for divorce from Camille, his wife of 13 years, last summer. He has since been dating flight attendant Kayte Walsh, 29.
"They have been engaged for a while," Grammer's representative told UsMagazine.com about the actor's relationship with Walsh.
Grammer is best known for his work on TV's "Cheers" and "Frasier."
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