The prime minister's office has confirmed Mr Trump will play host at a state dinner at the White House for Mr Morrison, who says relations between Australia and the US are the strongest they've ever been.

It follows on from their meetings on the sidelines of the D-Day commemorations in the UK and the G20 summit earlier this year.

"This relationship with the United States is as strong as it has ever been, and I'm looking forward to making that visit to the White House," Mr Morrison told Liberal National Party faithful in Brisbane on Sunday.

"We've been fighting alongside the Americans for over a century, and that's what they see, and that's what they acknowledge.

"This relationship is a product of all that over a long period of time, but it will be my great honour to represent Australia when we go there in a few months."

It is the first such invitation to an Australian prime minister since President George W Bush hosted John Howard in 2006.

It comes a day after Mr Morrison addressed thousands of US military personnel as part of a biennial military exercise held off the Queensland coast.

The Talisman Sabre exercises involve Australia, New Zealand, the United States, UK, Canada and Japan, with the addition of a Chinese spy ship observing from just outside Australia's territorial waters.

"Australia and the United States see the world through the same eyes," Mr Morrison said on the deck of the USS Ronald Reagan.

"Or, as President Reagan put it, 'We both recognise the responsibility of freedom and are prepared to shoulder it squarely.'"

Australian Associated Press