The "Paris accord" to reduce carbon emissions, was agreed in the 2015, and signed by almost 200 countries.
A frustrated German Chancellor Angela Merkel later warned that Europe "must take its fate into its own hands", citing the differences with Washington on climate change as evidence of their divergent paths.
"As a big developing nation we should shoulder our worldwide responsibility".
"We must reduce global warming", the leaders of Denmark, Finland, Iceland, Norway and Sweden said in a short, joint missive.
Norway's largest pension fund with 53 billion euro ($59.5 billion) in assets under its management said it would also continue to invest in renewable energy despite the American president's decision, saying in a statement that "Donald Trump is jumping off a train that has already left the station".
"The Paris Accord was the biggest step forward we've taken in many many years", he said.
Currently, the United States has committed to reducing carbon emissions between 26 and 28 percent below 2005 levels by 2025.
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Former President Barack Obama and a host of other countries signed the climate change agreement in 2015, which aims to reduce global carbon emissions.
Backing out of the agreement that way would take time, but would make it easier for the U.S. to return to climate change negotiations if a future administration would want to, says Andrew Light, a senior fellow at the World Resources Institute and a professor at George Mason University. I think they very much can be compatible with the right types of incentives.
European leaders pushed Trump to stay in the Paris pact during his recent overseas trip. Trump appeared unswayed and a communique coming out of the meeting pointedly failed to include the US among G7 countries backing the agreement.
"President Vladimir Putin signed this convention when he was in Paris".
Meanwhile, Russian President Vladimir Putin publicly denied any meddling in the 2016 USA election. If the United States withdraws, it will join just Syria and Nicaragua as non-participants.
Mr Dathi said it would be "disastrous" and a "serious blow" to the fight against climate change if Mr Trump pulled the USA out of the agreement.
"Those who want to export their goods and services to our market also have to accept our standards", he said.
"Once China's development reaches a certain level, it has to move to a sustainable model, that means we have to push green development", he said. Calculations suggest withdrawal could result in emissions of up to 3 billion tons of additional carbon dioxide in the air a year enough to melt ice sheets faster, raise seas higher and trigger more extreme weather.