"Eddie and I have decided to take some time apart," says Glanville, 36. "I want to do what is best for our children. Eddie and LeAnn [Rimes] deserve each other."
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According to Us, the breaking point for Glanville, the mother of Mason, 6, and Jake, 2, was when Cibrian was caught with Rimes, a singer/actress, four months after reports of an affair between the two.
Glanville accused Rimes of "stalking" her husband back in June, but Rimes said she would take the "high road" by not battling with Glanville in the media.
Cibrian's manager, Steve Sauer, told TVGuide.com the situation should be handled privately.
"Apparently the press wishes to continue to play out Eddie Cibrian's domestic situation publicly with an unfair flair of tabloid fervor," said Sauer. "Eddie is a devoted and loving father first and foremost and the speed bump he and Brandi are experiencing needs to be worked out privately for everyone's benefit."