Byron, who is currently heading a Government review into the impact of the internet and violent computer games on Children, said that many parent did not know what sort of content is accessible through the internet.
"We have just got to understand that putting your kids in front of a PC is not the same as putting your kids in front of a TV. It's like opening your front door and saying, 'See you later'," the Telegraph quoted her as saying.
While speaking at the London Games Festival, Byron stressed the need for educating parents about the internet and for establishing a balance so that children could access beneficial online sites.
She insisted that children must also be allowed to play outside.
"We live in such a risk-averse culture that everybody is too scared to let their kids outside, which is a tragedy. Kids can't even play conkers at school any more," she said.
"It's all about challenging that," she added.
Byron further said that parents needed to help children "manage and understand risk".