Queensland Premier Campbell Newman says there have been no reports of death or injuries caused by Ita, but a water rescue is underway near Cooktown.

Three children and their parents have been rescued from fast-flowing floodwaters in cyclone-battered Cooktown.

“Great work by QFES Swiftwater & SES floodboat crews! 2 adults & 3 children rescued from floodwaters 10km sth of #Cooktown. #TCIta,” Queensland Fire and Emergency Services commissioner Lee Johnson tweeted.

Queensland Premier Campbell Newman has urged people in north Queensland to take no chances as heavy rains continue to lash the region and flood warnings are in place.

“There is a report in the last hour and a half of a swift water rescue being undertaken at a crossing about 10 kilometres to the west-southwest of Cooktown,” he told reporters on Saturday.

“I urge people again to play it safe. Stay at home, stay in shelter until this is properly over.”

No injuries or deaths have been reported as a result of tropical cyclone Ita, and Mr Newman wants to keep it that way.

“I remind people that if it’s flooded, forget it,” he said.

Ita crossed the coast near Cape Flattery about 9pm on Friday as a category four cyclone. It has been downgraded to a category two.

The weather bureau has cyclone warnings current for coastal areas from Cape Melville to Cardwell, including Cooktown, Port Douglas and Cairns, and extending inland to areas including Mareeba and Chillagoe.

Coastal residents south of Cooktown to Cairns, including Port Douglas, are also being warned of a storm tide.

Heavy rain, which the bureau warns may lead to flash flooding, is buffeting parts of the Peninsula, North Tropical Coast and Tablelands districts.

The bureau says the rain should gradually contract southwards with the system over the weekend.