US District Court Judge Derrick Watson said Hawaii would have until Tuesday morning to file a new motion. The government will have until Saturday, October 14, to respond.
The latest travel ban removes Sudan from the list of affected countries and adds Chad and North Korea, along with several officials from the government of Venezuela. It's scheduled to take effect October 18.
"Hawaii fought the first and second travel bans because they were illegal and unconstitutional efforts to implement the president's Muslim ban," Hawaii Attorney General Doug Chin said in a statement. "Unfortunately, the third travel ban is more of the same."
Chin has been battling President Donald Trump on travel bans since February, after the president sought to bar new visas for people from seven mostly Muslim countries.
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The state later amended that lawsuit to add a plaintiff: the imam of a Honolulu mosque. Hawaii has roughly 5,000 Muslims.
In March, US District Judge Derrick Watson in Honolulu agreed with Hawaii that the ban amounted to discrimination based on nationality and religion.
A subsequent US Supreme Court ruling allowed the administration to partially reinstate a 90-day ban on visitors from Iran, Libya, Somalia, Sudan, Syria and Yemen and a 120- day ban on refugees from anywhere in the world.
The court's ruling exempted a large number of refugees and travellers with a "bona fide relationship" with a person or entity in the US.
Hawaii successfully challenged the federal government's definition of which family members would be allowed into the country. Watson ordered the government not to enforce the ban on close relatives such as grandparents, grandchildren, uncles and aunts.