The top court is not expected to rule until June on the policy, which requires new power plants, factories and other stationary industrial sites to use the latest energy-efficient technologies.
Republicans and energy interests argue that the rules, which have been adopted by the Environmental Protection Agency, are bad for the economy and possibly illegal.
But President Barack Obama's administration says the changes are necessary to combat global warming and are a centrepiece of US efforts to reduce air pollution.
Michigan and Texas have joined 10 other states and numerous industry groups to call on the high court to strike down some of the rules put in place by the EPA, which calls for lowering the carbon emissions of the highest polluting factories.
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Frustrated by inaction in Congress, the EPA adopted regulations in 2010 to limit carbon emissions by stationary facilities, such as power plants, and by motor vehicles.
In two prior cases, the Supreme Court has held that the EPA could regulate emissions from motor vehicles and power plants and other stationary sources under the 1970 Clean Air Act, even though at the time, greenhouse gases were not well understood and were not explicitly placed under EPA authority.
"Manufacturers have long argued that the EPA's greenhouse gas regulations for stationary sources are some of the most costly, complex and harmful they have ever faced," the group said in a statement after the more than 90-minute-long session.
Inside the courtroom yesterday, the justices appeared reluctant to change their 2007 decision to grant the EPA, a federal agency, power to limit greenhouse gas emissions.
"We are bound both by the result and the reasoning of the Massachusetts v EPA case," said Justice Anthony Kennedy, who is likely the swing vote between four conservative justices who oppose the EPA rules and the four liberals who appear to support them.