NSW Premier Kristina Keneally wants changes to the national flood levy, saying it should take into account the high cost of living in Sydney.

Under the one-off levy taxpayers would pay between $1 to $5 a week to rebuild flood-affected areas.

NSW Premier Kristina Keneally ... says the high cost of living in Sydney should be taken into account by PM. Credit:Wolter Peeters

But Ms Keneally said she was going raise the issue of adjusting the tax for Sydneysiders when the Council of Australian Government (COAG) meets next month.

"The Commonwealth has sought to calibrate this levy in order to ensure those who can afford more do [pay more].