US President Donald Trump - File Photo Reuters 

The US Supreme Court on Monday handed a victory to President Donald Trump by narrowing the scope of lower court rulings that blocked his travel ban on people from six Muslim-majority countries and agreeing to hear his appeals in the cases.

The court said it would hear arguments on the legality of one of Trump's signature policies in his first months as president in the court's next term, which starts in October.

The justices granted parts of his administration's emergency request to put the March 6 executive order into effect immediately while the legal battle continues.

The court said that the travel ban is in effect "with respect to foreign nationals who lack any bona fide relationship with a person or entity in the United States."

The court also said it would allow a 120-day ban on all refugees entering the United States to go into effect on the same grounds.

Three of the court's conservatives said they would have granted Trump's request in full, including Trump appointee Neil Gorsuch.