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Singer LeAnn Rimes arrives at 2011 MusiCares Person of the Year Tribute to Barbra Streisand at Los Angeles Convention Center on February 11, 2011 in Los Angeles, California.
"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.
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.