Lawyer Victoria Jolliffe for the newspaper's publisher acknowledged Thursday that the allegations were false. Jolliffe told London's High Court that the newspaper apologized for any "distress, hurt and embarrassment" it had caused.
Hartnett's lawyer says the actor plans to donate the damages money to charity.
The 30-year-old star of "Pearl Harbor" and "Sin City" is appearing onstage in "Rain Man" in London.