About a third of all women in the EU have experienced either physical or sexual violence since the age of 15, according to a survey by the European Union Agency for Fundamental Rights.
That corresponds to 62 million women, the survey says.
It is said to be the biggest survey conducted on the subject, and is based on interviews with 42,000 women.
The report calls on EU countries to treat domestic violence as a public, not a private issue.
It says laws and policies relating to sexual harassment should be reviewed.