Tulisa Contostavlos said her ex-boyfriend Justin Edwards had "messed with the wrong woman" after winning an apology from him over a sex tape which ended up online.
The singer and X Factor judge was at London's High Court to accept the "sincere apologies" of Justin Edwards, also known as MC Ultra.
The rap artist from London originally denied being responsible.
Details of the settlement were given by the N-Dubz singer's solicitor.
Jonathan Coad said: "The invasion of Miss Contostavlos' privacy was the most severe kind imaginable.
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"She suffered and continues to suffer very serious distress at this wholly unjustified and unlawful interference with her rights."
'Distressed'
Tulisa, 23, launched the legal action against her 28-year-old ex-boyfriend and others after the footage was posted on a website.
She won a High Court order in March banning publication of the clip showing her engaged in a sexual act.
The X Factor judge, who mentored last year's winning act Little Mix, commented on the case by posting a video on YouTube at the time.
"When you share an intimate moment with someone that you love, you care about and you trust, you never imagine for one minute that that footage may at any point be shared with the rest of the UK or the rest of the people around the world," the 23-year-old said at the time.
Tulisa, who celebrates her 24th birthday tomorrow (13 July), is continuing the action against a number of other defendants over claims they were involved in the distribution of the tape.Her solicitor said that Edwards, who was not present at court, accepted all that was said on behalf of Miss Contostavlos and had also agreed not to speak further in public about their relationship.
"She has been particularly distressed by the wholly untrue allegation made by some that she was in some way complicit with the release of the footage," Mr Coad added.
-BBC