The White House says that now is not the time to focus on dialogue with North Korea.
Trump made the remark during a phone call with British Prime Minister Theresa May on Tuesday during which the leaders discussed Sunday's test of what North Korea claimed was an H-bomb that can be mounted on a long-range missile.
The two leaders agreed that maximum pressure, both diplomatic and economic, was required to push back on North Korea's nuclear tests and threats, and spoke of China being the key player in tamping down the rogue state's actions.
The call between Trump and Turnbull was their first since The Washington Post published a leaked transcript last month of their contentious first phone conversation, in which Trump berated the Australian leader over a refugee resettlement deal that had been reached under the Obama administration.
Prime Minister Bill English is being briefed daily on the North Korean situation.
North Korea's nuclear and ballistic-missile programs were banned by resolutions adopted by the UN Security Council - whose permanent members are the Russian Federation, the United States, China, Britain, and France - but Pyongyang has continued to carry out tests.
The leaders also discussed terrorism in the southern Philippines.
"The recent self-defence measures by my country, DPRK, are a "gift package" addressed to none other than the U.S".
'Secretary Mattis assured Minister Song that the United States remains ironclad in its commitment to the defence of the ROK (Republic of Korea),' the Pentagon stated in a readout of the call.
There has been worldwide outrage and calls for tougher economic sanctions after North Korea carried out its sixth, and biggest yet, nuclear test on Sunday. China will not allow chaos and war on the Korean Peninsula, he said.
They welcomed China's support for United Nations sanctions and its efforts to increase pressure on North Korea, but agreed China still holds substantial economic influence which should be used to bring the regime to its senses and restore stability on the Korean peninsula.
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The new draft resolution would impose a complete ban on the hiring and payment of North Korean laborers overseas . The Aug. 5 resolution capped the number of North Koreans working overseas at the current level.
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In the consultations, South Korea was represented by Choi Hyong-chan, director general of the ministry's worldwide affairs. Aircraft carriers from India, Japan and the U.S. participate at this year's Malabar Naval war games.