These showed that people blamed children for up to half of all crime when in fact they were responsible for only 12% of criminal activity.
Last month, the United Nations said there was a "general climate of intolerance" towards British children and this could result in them being treated unfairly.
Barnardo's has also published a report called Breaking the Cycle.
The report stated that children who carried out illegal and anti-social behaviour were those most in need of support.
It also claimed that young people who became involved in criminal activity came from the most deprived families, had the poorest educational experiences and were more likely to suffer from poor health.
Mr Narey said the charity was not "naive" and accepted a "minority of children" were anti-social and committed crimes.
He said action had to be taken to prevent those at risk of criminal behaviour from following that path.
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