During a lengthy exchange with reporters, President Trump said that his threat to bring "fire and fury" if North Korea continued to threaten the United States may not have gone far enough.
France is a member of the Security Council, which approved fresh sanctions on North Korea this month for its recent intercontinental ballistic missile testing.
As the crisis has unfolded, Trump has alternated praising China for its help and chiding it for not doing more.
The prefectures sit in a line between North Korea and Guam. North Korea responded by detailing a plan to fire ballistic missiles toward the US territory of Guam, home to USA military bases.
For days now the media and regular Trump critics on Capitol Hill have berated the President for his rhetoric about North Korea.
"I get it, I understand wanting to say that, but this is like a hostage situation. And what I said is what I mean", Trump said. But I will tell you, we have tens of millions of people in this country that are so happy with what I am saying, because they say finally we have a president that's sticking up for our nation and frankly, sticking up for our friends and our allies.
Neighbouring powers have urged restraint.
Despite the bombastic rhetoric exchanged between North Korean and American leaders this week, the Trump administration has been quietly engaged in back-channel diplomacy with North Korea for several months, according to a source familiar with the negotiations. Russian Federation called on the Trump administration to keep calm on Friday, just as China agreed with the USA that the recent adoption of a United Nations Security Council resolution on North Korea was an important step toward achieving peace and stability on the peninsula.
Could US President Donald Trump's Twitter account be suspended for "threatening violence" against North Korea?
The White House said the "relationship between the two presidents is an extremely close one, and will hopefully lead to a peaceful resolution of the North Korea problem".