The court will determine whether the law allows health insurance subsidies to millions of Americans.
The challenge was brought by conservatives who argue that only states, not the federal government, can pay such subsidies.
Residents of 36 states rely on the federal government for the payments.
The sweeping healthcare reform law, the Affordable Care Act, established health insurance exchanges run by the federal government and by 16 states that provide subsidies to help Americans purchase insurance premiums.
In 2014, more than eight million people signed up for coverage on the exchanges.
The law’s conservative opponents argue a close reading of the statute only allows subsidies to be paid by states that have their own healthcare exchanges, not by the federal government, which serves residents of states that have not established their own.
Currently, 36 states do not have exchanges of their own. Should the Supreme Court find in favor of the plaintiffs, more than five million people could find their insurance costs rise dramatically.
In July, the US Court of Appeals for the District of Columbia ruled in favor of the law’s opponents, but later threw the ruling out so it could rehear the case.
The Supreme Court is expected to hear arguments in March, with a decision in June.
On November 7, the White House dismissed the lawsuit as a partisan attempt to undermine the law.
“These lawsuits won’t stand in the way of the Affordable Care Act and the millions of Americans who can now afford health insurance because of it,” White House press secretary Josh Earnest said in a statement.
“We are confident that the financial help afforded millions of Americans was the intent of the law and it is working as Congress designed.”
The ObamaCare passed with no Republican votes in 2010, and has been a focus of conservative outrage ever since.
In 2012, the Supreme Court upheld the central provision of the law requiring Americans to carry health insurance or pay a penalty, in a 5-4 decision.
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