"I can check the date book, but last I looked, there wasn't anything in there like that," Kutcher said.
The May-December romance between Kutcher, 25, and Moore, 41, has been tabloid fodder for more than a year with frequent speculation that the two will marry.
Moore, the mother of three daughters, is divorced from actor Bruce Willis.
Kutcher appears in Fox's "That '70s Show" and will star with Amy Smart in the time-travel thriller "The Butterfly Effect," which opens Jan. 23.
Celebrity Families of 2014 [PHOTOS]