A senior Trump Administration official acknowledged that the transcript is accurate but declined to speak on the record about "a leaked document from a foreign government."
The Post obtained the document from a person who asked not to be identified because the transcript, labelled by the Philippines Government as "confidential," is not intended for public release.
Trump is "rallying as much support as he can on North Korea," the Administration official said, speaking on the condition of anonymity. "Regional support is extremely meaningful. This is how he's trying to proactively manage a very difficult situation."
Trump's call with Duterte, during which he extended an invitation to visit him at the White House, was met with scepticism from some foreign policy analysts and human rights groups.
Since taking office in June, Duterte has moved to hedge on the Philippines' long-standing defence alliance with the United States by establishing closer relations with China. And his Administration has overseen a brutal extrajudicial campaign that has resulted in the killings of thousands of suspected drug dealers.
Trump has not spoken out against that strategy, and in their call he praised Duterte for doing an "unbelievable job on the drug problem".
"Many countries have the problem, we have the problem, but what a great job you are doing and I just wanted to call and tell you that," Trump said, according to the transcript.
After Duterte replied that drugs are the "scourge of my nation now and I have to do something to preserve the Filipino nation," Trump appeared to take a swipe at his predecessor, President Barack Obama, who had cancelled a bilateral meeting with Duterte after the Philippines leader insulted him.
"I understand that and fully understand that and I think we had a previous president who did not understand that," Trump said.
On his first foreign trip this week, Trump said during a speech in Saudi Arabia that his Administration will not "lecture" foreign governments on human rights as the United States pursues partnerships to fight terrorism.
The senior Trump Administration official said that the President was not condoning Duterte's "individual tactics" for cracking down on illicit drugs. Rather, this was Trump's "way of expressing solidarity over a common scourge," the official said.
Most of his conversation with Duterte focused on how to deal with North Korea and whether China can exert more leverage on Kim's regime. Trump acknowledged after meeting Chinese President Xi Jinping in mid-April that "it's not so easy" for Beijing to alter Pyongyang's behaviour.
But when he asked Duterte whether China has "power over" Kim, the Philippines President responded: "Yes, at the end of the day, the last card, the ace, has to be with China. It's only China".