Nissenkorn signed the order a day after Israel''s Supreme Court rejected what appears to be Leifer's final appeal.
Leifer, a former educator accused of sexually abusing several former students at a Jewish school in Melbourne, has been fighting extradition from Israel since 2014.
Leifer maintains her innocence and the six-year legal battle surrounding her extradition has strained relations between Israel and Australia.
Nissenkorn did not announce an extradition date. But Manny Waks, an activist who has represented the victims, said he expected it to take place within 60 days. “An amazing day for justice!” he tweeted.
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