Charlotte Church says she was "sickened and disgusted" by what she discovered during her legal action against News International over phone hacking.
The High Court heard the singer's phone was hacked when she was 16 years old.
The court agreed that 33 articles in the paper had been due to her family's voicemails being hacked.
The settlement includes £300,000 in legal costs and a public apology.
Speaking outside the Royal Courts of Justice in London, Ms Church said it was an "important day" for her and her family.
"I brought this legal claim with my parents, as many others have done, because we wanted to find out the truth about what this newspaper group had done in the pursuit of stories about our family.
"What I have discovered as the litigation has gone on has sickened and disgusted me.
"Nothing was deemed off limits by those who pursued me and my family, just to make money for a multinational news corporation."
'Not truly sorry'
Ms Church said she had discovered that, despite an apology the paper "was prepared to go to any lengths to prevent me exposing their behaviour".
"It seems they have learned nothing, and I would have learned nothing more from an actual trial since it was clear that no-one from News International was prepared to take the stand to explain their actions," she said.
"In my opinion, they are not truly sorry, only sorry they got caught."
She added that "money could never mend the damage that was done," and she would use her portion of the settlement to protect her children from further invasions of privacy.
The court heard Ms Church's phone was hacked in 2002 and journalists also placed her under surveillance and gained access to her medical records.
The court heard her mother, Maria, was at "her lowest ebb" and was "coerced" into an interview with the paper's journalists about how she had self-harmed and attempted suicide after reporters gained information from hacked voicemails about her medical history.
The 26-year-old singer said she was planning to focus on helping the criminal investigation and Lord Justice Leveson's inquiry into media ethics.
http://www.bbc.co.uk/news/uk-17178550