The 'Can't Fight the Moonlight' singer's actor boyfriend popped the question over the Christmas period while they holidayed in Los Angeles and LeAnn revealed they have both been emotional since it happened.
She wrote on her twitter page: "Sooooo many happy tears have been shed over the last few days.
"I just adore every single thing about that man. Ok, crying now! Been crying all weekend, both of us!! (sic)"
She added: "Once again, thank you all for your kindness and for sharing in our happiness. We are off to sweet dream land. Til tmrw twele's love you all! (sic)"
LeAnn was spotted in Malibu, Los Angeles, wearing her new platinum engagement ring on Tuesday (27.12.10), which has a five-carat oval diamond in a rose gold fleur-de-lis setting.
Eddie, 37, met LeAnn, 28, while they were on the set of TV movie 'Northern Lights' in 2008 and both were married to other people.
LeAnn's admission to an affair with Eddie was unpopular with many of her fans, but her divorce was finalised in June and ex-husband Dean Sheremet has since got engaged again.
Eddie has two children - Mason, seven, and Jake, three - with his ex-wife, make-up artist-and-model Brandi Glanville.