Fatima Elomar pleaded guilty at Sydney's District Court on Monday to one count of supporting foreign hostile acts between April 3 and May 3 last year.
She was stopped at Sydney Airport on May 3, 2014, as she also tried to board an international flight.
It comes after her husband Mohamed Elomar travelled to Syria in 2013.
He, along with Khaled Sharrouf, gained notoriety last year when they posed for photos holding the severed heads of enemy fighters.
It's believed Mohamed Elomar was killed in June this year in a drone strike on the Islamic State's self-declared capital of Raqqa.
Fatima Elomar will return to court to be sentenced on April 1.
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