Trump, his wife Melania Trump, with military leaders and wives in uniform posing against cameras in White House, "Do you know what that means?"
This "should have been handled 25 years ago, it should have been handled 10 years ago, it should have been handled during the Obama administration", the president said, referring to his Democratic predecessor Barack Obama.
A senior administration official said on Thursday that Trump was expected to announce soon he would decertify the landmark agreement.
"We have a very good relationship", Trump told reporters before he left for a trip to North Carolina on Saturday evening.
Trump has suggested before that he would be open to negotiating with Democrats on health care, but there have been no clear signs of a compromise between Republicans who have sought to scrap President Barack Obama's law and Democrats who want to protect it.
The president emphasized again that he is "unhappy" with Iran's attitude and the 2015 deal under which Tehran agreed to curb its nuclear program in exchange for sanctions relief from USA and other world powers. Nor would he clarify the next day during a gathering of manufacturers at the White House, once again teasing that an announcement would be forthcoming down the road.
Hillary Clinton 'appalled' by Weinstein revelations
A high-profile donor in the Democratic Party, Weinstein has contributed more $20,000 to Clinton's campaigns since she ran for U.S. Clinton appeared at the university as part of a tour promoting her new book " What Happened ", about the 2016 campaign.
California Wildfires Burn Napa Valley Wine Country and Force Evacuations
Belia Ramos, chairwoman of the Napa County Board of Supervisors, said "tremendous" wind gusts were making the fire unpredictable. The morning commute on southbound Highway 101 was slower than normal as additional cars evacuating the fire were on the roadway.
Brazil arrests Olympic committee chairman on Rio 2016 corruption charges
The IOC said that "to protect the interests of the Brazilian athletes" the decision had no bearing on the country's teams.
The president's comments do, however, clearly refute reports that the relationship between Trump and Tillerson was on a downward slide, so much so that the latter was reportedly considering resigning.
At one point, Trump asked reporters on Saturday: "Do you ever rest?"
"Since the president indicated that you wanted Pakistan to move against the agents of chaos within Pakistani territory or areas under Pakistani control, the foreign minister was here in the White House this week to meet General McMaster".
The president tweeted that he called New York Sen. "And as he said last night, in addition to those comments, you'll have to wait and see", she said.
"The places I come from, we don't deal with that kind of petty nonsense, and it's meant to do nothing but divide people", he said. "I don't think it's responsible, I don't think presidents ought to do it, but I think in this instance, we probably all should take a deep breath and try to assume that he's just making a play for attention".