The Die Hard star owns three properties in the state and he has already placed his home in Hailey up for sale, together with a local bar he owns, for a total of $19 million (£11.88 million).
Now Willis has reportedly told officials in Camas County that he is willing to hand over ownership of Soldier Mountain in Fairfield to a non-profit organisation more than a decade after purchasing the land, according to the Idaho Mountain Express.
A representative for the actor has refused to comment on the news.
Willis’ wife Emma Heming gave birth to his fourth girl, called Mabel Ray, on Sunday (01Apr12). He has three older daughters with his ex-wife Demi Moore.