Without water, catering, power and medical services, about 600 men are occupying the decommissioned centre, where they have been interned by Australia since 2013.
The centre was closed on October 31 when companies providing services walked away from their contracts with the Australian government, following sustained public pressure.
The court found the services were available for the refugees at up to three alternative sites in the island's main town, but the refugees say they will not swap one prison for another.
