The winners of the English language spoof news bulletin were James Carver and Taylor Martin, both 13, from Dyffryn School in Margam, Port Talbot.
Their news item, Lack of Bullying Snaps Underpants Company, took a humorous look at measures used to tackle bullying.
The winners of the Welsh language spoof news bulletin were year nine pupils Lowri Jones, Bethan Lasky, Nia Morgan and Bethan Connell from Ysgol Gyfun Y Strade in Llanelli.
They put together an ironic story about how bullying can become a vicious cycle.
Education Minister Jane Hutt starts the week by attending an anti-bullying showcase at County Hall, Cwmbran, Torfaen, with Children's Commissioner for Wales Keith Towler.
The event includes a short anti-bullying documentary, a presentation by the Torfaen young people's forum, and a digital story by pupils from Ysgol Gyfun Gwynllyw, at Pontypool, Torfaen.
Ms Hutt said: "Anti-Bullying Week is a fantastic opportunity to highlight that bullying is still a real issue in some children and young people's lives.
"We hope that the competitions helped engage schools, pupils, teachers and parents to work together to combat bullying in their school."
On Friday, 11-times Paralympic gold medal winning swimmer David Roberts will present the cheque to the winners of the anti-bullying poetry competition winner.
He will hear a reading of the winning poem, and talk to pupils about his experiences of being bullied because of his disability and how he overcame them.
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