The high court announced in November that it would take up the law and its mandate that all Americans have health insurance by 2014. The discussion on various challenges brought by top Republican officials from 26 states will take place March 26-28.
Obama signed the bill on March 23, 2010.
Various appellate courts have offered differing rulings on the constitutionality of the requirement that all Americans have insurance.
The Republican governors and state attorneys who challenged the law argued that the power to regulate commerce does not extend to such a requirement. They also allege that the law's expansion of Medicaid will force the states to take on extra burdens.
The justices are expected to issue their ruling in late June, just as the general-election phase of the 2012 presidential race will be shifting into high gear.