The 44-year-old action hero and his actress wife issued the denial after it was reported that they floated their epic estate in a hush-hush listing, reported the New York Daily News.
"This is false. Their home is not on the market," their publicist said.
The humongous, hand-hewn abode took more than four years to complete and includes a screening room, professional recording studio, retractable skylight in the double-height living room and views of the couple's private, man-made lake.