The former Doctor Who and Broadchurch star received the undisclosed sum and an apology for the misuse of private information from the owners of the now defunct newspaper, after suing them in March last year.
Lawyer Sara Mansoori said that Mr Tennant was "a very private individual" and was "outraged and shocked by the invasions of privacy by individuals working for or acting on behalf of the News of the World".
He was among six people to settle claims against publisher News Group Newspapers (NGN) on Tuesday, including Olympic medallist Colin Jackson and actress Sophia Myles, but