Matt Lauer, Annette Lauer, Deny Breakup Rumors

Matt, Annette Lauer

Matt Lauer and his wife Annette are blasting a report they have split, and the Today co-host calls the tabloid story alleging he had moved out of his family’s apartment “a work of fiction.”

“I am living in my apartment with Annette and my children as a family and a couple,” Lauer tells PEOPLE exclusively in an interview from France, where he’s been co-anchoring the NBC morning show from the Cannes Film Festival. “I have never moved out. I am not moving out. There is no truth to that.”

Matt Lauer and his wife Annette Lauer are both adamantly denying that they are breaking up.

Matt says the rumors of his moving out are complete rubbish. Annette agrees.

Annette told People magazine: “Out of self respect, I want to stand up for our family and protect them.” Annette did admit that the couple have had problems in the past, but she said: “We have worked through it.”

A frustrated Matt says he did not cheat on his wife and he is definitely not moving out, as the gossip rag, The National Enquirer has reported.

He said: “Have we had a completely perfect, easy marriage? No. But the stories you’ve read over the years are not true. I don’t think we’re any different than any married couple that’s been together for 12 years. The accusations [of infidelity] are ridiculous and I’m not going to [dignify] them with an answer. It’s not true.”

Meanwhile, the supposed other woman, Whitney Houston’s half sister, Alexis Houston, also denies an affair.