"Charlotte fought hard for a reform into cyber bullying; she campaigned so hard for something so simple - a better world," the petition reads.
"In life Charlotte dreamed of eradicating negativity on social media. In death we will continue fighting for her and make her proud of our continuing battle. Charlotte's death cannot be in vain."
The petition also calls for social media companies to take a more active role in preventing cyber bullying.
Charlotte was found dead in her Sydney apartment on Saturday morning. She had been battling depression for 14 years and had been embroiled in a well-publicised fight with anonymous online bullies since 2012.