Two Venezuelans in New York and three in Texas must undergo deportation hearings before being deported, federal judges ruled on Wednesday.

Judges in Texas and New York on Wednesday temporarily barred the U.S. government from deporting Venezuelans jailed in parts of those two states while their lawyers challenge the Trump administration’s use of a rarely invoked law letting presidents imprison noncitizens or expel them from the country in times of war.

The Supreme Court this week allowed the administration to resume deportations, saying a case should have been filed in Texas. But the A.C.L.U. said other detainees are being held in the jail of a small New York town.