Only liberal Justices Ruth Bader Ginsburg and Sonia Sotomayor would have allowed the president's order to remain blocked.
The US Supreme Court has agreed to decide the legality of President Donald Trump's latest travel ban, which targets people from six Muslim-majority countries.
The court is due to hear arguments in April and will rule by the end of June.
But it has already allowed the policy to go into effect while legal challenges continue.
The third version of Mr Trump's directive affects travellers from Chad, Iran, Libya, Somalia, Syria and Yemen.
It also bans travellers from North Korea and certain government officials from Venezuela from entering the US.
Opponents say it is unconstitutional and discriminatory and that in making it Mr Trump has exceeded his legal authority.
But supporters say the president is fulfilling his campaign promises to protect Americans and defend national security.
The Supreme Court, which has a conservative majority, will decide whether the policy is unconstitutional or violates federal immigration law.
In December, the court ruled it could go into full effect even as legal challenges continued in lower courts.
http://www.bbc.com/news/world-us-canada-42755692
