"I don't know how many times I have to say Eddie and I would never do a reality show about our lives," she wrote on the social media site.
U.S. & World
Rimes' publicist also strongly denied any notion that the couple would be participating in a show, calling the idea "absolutely untrue."
"There has never been, nor are there, any plans for LeAnn and Eddie to do a reality show," the publicist added.
Rimes and Cibrian were engaged in December 2010 after each left their former spouses due to a relationship they started while filming a Lifetime movie in 2008.