Chamber of Commerce and the Independent Petroleum Association of America, who support the executive order.
In 2015, Obama introduced the Clean Power Plan (CPP) as an effort to cut down on carbon dioxide emissions.
The president has also said he does not intend to honour promises made by the administration of his predecessor, Barack Obama, to give billions of dollars in aid to poor, climate-vulnerable nations.
In response to the president's executive order, Dave Adkisson, Kentucky Chamber President and CEO, said, "We applaud the president's commitment to supporting domestic energy production and ensuring affordable energy costs". They warned that health and prosperity of all Americans is at risk - as are Maryland's Chesapeake Bay and communities along our coastlines.
The regulations - known as the Clean Power Plan - have been the subject of long-running legal challenges by about two dozen mostly Republican-led states and industry groups that profit from burning coal.More news: Comparison between investment and gambling
But they said they'll take their first battle to the court of public opinion.
Trump's executive order does not fundamentally change the economics of power production.
The Interior Department previous year placed a moratorium on new coal leases on federal lands to review the climate change impacts of burning the fuel and whether taxpayers were getting a fair return.
These actions, as our executive director Margie Alt pointed out, are "sheer reckless folly" at a time when we need to double down on our efforts to combat climate change. However, even with the President rolling back Obama era environmental regulations, no one expects coal to come back the way it was. Even after the president's executive order, numerous country's top companies said they would stick with their plans to shrink their environmental footprint. Though China has surpassed the United States to become the world's largest source of greenhouse-gas emissions, its emissions have leveled off over the past three years and are projected to decline by 1 percent this year. And we're with you 100 percent, and that's what you're going to do.
The order does not start the process of withdrawing the US from the Paris climate agreement. The Clean Power Plan may have been scrapped, but clean energy remains (very much) part of the American energy market.
"This step by the administration recognizes that the Clean Power Plan went beyond the bounds of EPA's authority, instead of working against us and imposing self-inflicted economic wounds like the last administration", he said.