Although nearly one in three of the children said they had been bullied, just 1 per cent were only bullied online, the study found.
Cyberbullying was found to lower self-esteem and increase depression as seriously as traditional bullying.
When youngsters were bullied by multiple means, such as being beaten, socially excluded, or victimised online, the psychological impact was worse.
Being able to target victims online allowed the reach of bullies to extend into their homes.
Professor Dieter Wolke, of the department of psychology at the University of Warwick, said: "Many media reports have portrayed that cyberbullying is an epidemic, suggesting many new victims are created. Our findings show that very few new victims are created.
"The same bullies that confront their victims in school and know them face to face also now use cyber tools to bully their victims and extend their reach to outside school. However, being directly victimised and relationally excluded are still the main forms of bullying."
BullyingUK said calls relating to cyberbullying rose by 77 per cent last year.
ChildLine reported an 88 per cent increase in calls related to cyberbullying in the past five years.
The research was published in the journal European Child & Adolescent Psychiatry.