The as-yet untitled film, which will be made for Paramount Pictures, will tell the true stories of the last two men to be rescued alive from the ruins of the collapsed World Trade Center in New York.
"It's a work of collective passion, a serious meditation on what happened, and carries within a compassion that heals," Stone said in a statement issued by producers.
Oscar-winning star Cage will take the lead role of New York Port Authority policeman Sergeant John McLoughlin, who was trapped along with one of his fellow officers in the mangled wreckage of one of the twin towers that crumbled after being hit by hijacked passenger jets.
