Donald Trump has compared people entering the United States from Mexico to invaders and said they should be immediately sent back without appearing before a judge.
The American Civil Liberties Union said in response that such a step would be illegal and violate the Constitution that Trump swore to upholdas the US President.
"We cannot allow all of these people to invade our Country," Trump said on Twitter as he was being driven to his private golf club in Northern Virginia. "When somebody comes in, we must immediately, with no Judges or Court Cases, bring them back from where they came. Our system is a mockery to good immigration policy and Law and Order."
Trump added: "Most children come without parents ... Our Immigration policy, laughed at all over the world, is very unfair to all of those people who have gone through the system legally and are waiting on line for years! Immigration must be based on merit - we need people who will help to Make America Great Again!"
Omar Jadwat, director of the ACLU's Immigrants' Rights Project, said: "What President Trump has suggested here is both illegal and unconstitutional. Any official who has sworn an oath to uphold the Constitution and laws should disavow it unequivocally."
Trump has been criticising immigration judges for weeks, both exaggerating the number currently hearing cases and saying that hiring more - as some members of Congress have proposed - would be unnecessary.
Trump made his anti-illegal immigration stance a centrepiece of his presidential campaign and he has pushed for strict policies since taking office. He said during a campaign appearance on Sunday in Las Vegas that being for "strong borders, no crime" is a winning issue for Republicans to run on in November's congressional elections.
But he bowed to public pressure last week and reversed a policy of separating adults and children who enter the US illegally together at the border with Mexico, though his "zero-tolerance" policy of criminally prosecuting all illegal border-crossers remains.