Pet dogs left to roam free are killing large kangaroos and posing a threat to people on North Stradbroke Island, off Brisbane, it has been claimed.

There is community division about the future of pets on the island, with indigenous owners saying unrestrained dogs have killed up to 24 roos recently and harassed a group of visiting school children.

It is believed a large dog stalked the group, with parents having to restrain and release the animal, which was later found by a council contractor.

There have also been reports of a child being bitten in March.

Quandamooka Yoolooburrabee Aboriginal Corporation President Cameron Costello says the situation has reached crisis point and owners must change how pets are controlled.

"There needs to be a public discussion and a drastic culture change," he told AAP.

"I don't think people appreciate they live on what is essentially a wildlife sanctuary."

Mr Costello said the majority of pet owners are responsible, however, some aren't and even tourists have carelessly left their dogs on the island.

"They were just worried about being late for the ferry," he said.

Mr Costello is worried the dogs could discourage school groups from coming to the island, which is part of their educational tourism plans.

The problem also caused them to lose income in February when they were forced to close camping groups while they trapped dogs during the peak holiday period.

A change.org petition started a week ago by a resident which says 'no' to not allowing pets on the island has more than 1500 signatures.

Redland City Mayor Karen Williams said rumours the council plans to change the local laws to ban dogs were false.

They believe the situation is improving following successful trappings.

The council plans to release educational material on animal owners and has called on residents to take responsibility for their pets and provide appropriate dog enclosures and supervision.