Calvo said he "never felt more safe or so confident" with Trump "at the helm". "So with all the criticism going on over there, from a guy that's being targeted, we need a president like you, so I'm just so thankful, and I'm glad you're holding the helm, sir".
The US president told Mr Calvo that Guam - which has a population of 160,000 and is about twice the size of Malta - seemed lovely, telling the governor he had seen images in news reports about the North Korean threat.
I'm gonna go with the mentally unstable North Korean dictator with a nuclear weapon, but you do you. "Some Guam residents told reporters that they anxious what might happen if North Korea's leader, Kim Jong-un, were actually to follow through".
"United States forces stand ready to ensure the safety and security of the people of Guam, along with the rest of America", the White House said in a summary of Trump's call with Calvo. "But you're going to be taken care of".
Mr Calvo responded by agreeing his home was "paradise" and had "99 per cent occupancy".
"It looks like a handsome place", he said, inviting Calvo to visit the White House the next time he is in the Lower 48.
Mr Trump and Mr Calvo were speaking over the phone.
Referring to an "imminent missile threat", it includes advice like: "Do not look at the flash or fireball - it can blind you".
"They should've had me eight years ago", Trump said, regarding threats against the homeland from North Korea. We are rock solid, and we have the best in the world by a factor of five.
"Don't worry about a thing", Trump said.
North Korea says its Hwasong-12 missiles would take just 1,065 seconds to complete their 3,356km flight over Japan before splashing down in waters off the coast of Guam.
Earlier, President Trump said the United States military was "locked and loaded" to deal with North Korea, should the need arise, as the countries' leaders increased bellicose rhetoric this week.
"We are watching with concern because North Korean missiles are not exactly accurate", Lorenzana said in a mix of Filipino and English at the national defense headquarters in suburban Quezon City, Metro Manila.