Weeks of negotiations have led to the introduction in the House of an energy proposal that, for the first time, would mandate reductions in the heat-trapping gases blamed for global warming and shift the country toward cleaner sources of energy.
Obama campaigned for president on a promise to change the way Washington works.
He said Saturday in his weekly radio and Internet address that he was heartened by the "willingness of those with different points of view and disparate interests to come together around common goals, to embrace a shared sense of responsibility and make historic progress."
Obama singled out utility companies and health insurers, doctors and hospitals for coming to the table.
"I have always believed that it is better to talk than not to talk, that it is far more productive to reach over a divide than to shake your fist across it," he said. "This has been an alien notion in Washington for far too long, but we are seeing that the ways of Washington are beginning to change."
Both agreements, in the long term, will strengthen an economy experiencing its worst days since the Great Depression, Obama said.
The climate bill will help create millions of jobs producing wind turbines and solar panels, and developing alternative fuels with the goal of reducing U.S. reliance on foreign energy sources, he said. Controlling health care costs will make businesses more competitive and give families more money to save or spend.
Republicans said they agree with Obama that the health care system needs an overhaul.
But they warned against offering consumers an option for health insurance that would be run by the government and replace employer-based coverage, saying it could have "devastating consequences" that include limits on care and higher taxes.