Moser popped the question on Christmas Eve. The couple, who tour as Wynonna and the Big Noise, have been dating since late 2009.
This will be the third marriage for Judd, 47. She has two children, Elijah and Grace, from her two-year marriage to Arch Kelley III. She wed her former bodyguard, D. R. Roach in 2003 and the couple divorced in 2007.
Judd, who reunited with her mother, Naomi Judd, last year for a greatest hits CD and reality show, is currently working on her eighth studio album.