The Ofcom survey found that 28% of children and young people also believe that advice is needed on how to keep security information such as passwords and Pin numbers safe.
Over 20% felt they needed to be taught how to avoid inappropriate content online and wanted to know how to deal with cyberbullying.
The majority of children at ages seven to 16 (74%) said they had received some information about staying safe online, however 23% said that no one had talked to them about online safety.
Nearly a quarter of children and young people said they wouldn't know what they would do if they encountered "inappropriate material" when surfing the web on their mobile phone or games console.
Ofcom has published two new guides for parents and carers on how to use and how to use them on .
The research, carried out by Ipsos Mori on behalf of Ofcom, comprised 797 face-to-face interviews with children aged seven to 16 and their parent or carer.
This research forms part of Ofcom's media literacy programme.
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