Climate change, guns and religion in schools are among cases headed to SCOTUS.
Democrats in 23 states and the District of Columbia sued to block the order.
Supreme Court Chief Justice John Roberts is allowing the White House to continue construction on President Donald Trump's $400 million ballroom project for now.
The Supreme Court has again rejected President Donald Trump's attempt to overturn a $5 million jury verdict in favor of writer E. Jean Carroll.
The administration is asking the high court to allow construction to continue.
Supreme Court Justices Elena Kagan and Amy Coney Barrett appeared before Congress on Tuesday.