The decision in the Al-Marri case means the president still has the power to hold 'enemy combatants' indefinitely without charge.
The White House is seeking to protect at least some of its Bush-era privileges.
In a case involving a professional guitarist who lost an arm when injected with an antinausea drug, the justices said state consumer protections can go beyond federal regulations.
An Eritrean who worked at a prison where torture occurred gets another chance to live in America.
A West Virginia case before the US Supreme Court could clarify when judges must recuse themselves.
The move places the last remaining "enemy combatant" in the US before a civilian court instead of a military tribunal.
He ordered the case of enemy combatant Ali Al-Marri, who has been held in solitary confinement for five years without charges, to be moved to the US criminal justice system.