Under the agreement's terms, the U.S. can not withdraw before 4 November 2020, four years after the agreement was signed.
"Just as we have in the past, the United States will continue to research, innovate, and grow our economy while reducing emissions and extending a helping hand to our friends and partners around the globe".
"In response to that action, USA governors from California, New York and Washington State launched the United States Climate Alliance to affirm their commitment to uphold the goals of the Agreement", said the alliance in a statement.
The United States can rejoin the accord should President Donald Trump change his mind, or is replaced by any of the Democrats running to defeat him in 2020.
The Paris agreement, in which almost 200 countries set their own national targets for reducing or controlling pollution, went into effect on November 4, 2016.
The European Union has voiced regret at the US government's decision to pull out of the Paris climate agreement and expressed hopes that one of the world's biggest Carbon dioxide emitters will backpedal on its decision and rejoin. Arguments that Trump echoed in his 2017 announcement.
The talks are due to finalise the rulebook of the Paris accord and resolve contentious issues over how carbon credits can be traded between countries - technical discussions which are key to ensure carbon markets encourage additional emissions cut.
The president has been promising withdrawal for two years, and Monday was the time he started to fulfill his promise.
"Abandoning the Paris Agreement is an abdication of leadership that the vast majority of Americans oppose".
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"The Trump Administration's abandonment of action on climate change gives other countries an excuse not to act either".
Until its formal exit, the USA will continue to participate in negotiations over technical aspects of the agreement, represented by career State Department officials.
The US president ad wanted to re-negotiate the agreement but all principal signatories, such as India, China and France, chose to move on with what they had, with or without the US.
Pledging to pursue a "realistic and pragmatic model", Pompeo pointed to a 13 percent United States reduction of greenhouse gas emissions blamed for climate change from 2005 to 2017 even as the economy grew.
"At a time when American innovation is leading the way in environmental stewardship, the Paris Agreement is political window dressing, at best", Arrington said in a statement.
But Trump, who took office in 2017, has also pledged to turn back environmental regulations, seeking to block California from setting tighter standards on vehicle emissions and moving to let states set their own standards on existing coal-fired power plants.
The IPCC has previously admitted that climate models can't be used to accurately predict long-term changes in the climate. Trump's decision to withdraw from the historic agreement has sparked widespread worldwide condemnation.
"I think it's definitely global warming", said 62-year-old Patty Kissane, as she explained how rising high tides have forced her to change where she parks her vehicle.
"Until then, we will continue to fight the climate crisis with the urgency required, city by city and state by state".