At present children adopted from Taiwan and South Korea require a passport from their home country and an adoption visa to travel to Australia, something Prime Minister Tony Abbott says increases costs and causes delays.
Under the proposed new legislation, children will be granted citizenship as soon as adoption is finalised, meaning they'll be able to travel to Australia on an Australian passport with their new families.
Mr Abbott has recommended the bill to the parliament.
"I am pleased to undertake this real action to bring families together," he said.
"Without pretending that everything is going to be simple and straightforward immediately, I hope that this bill and my Government's other reforms to inter-country adoption will provide significant new hope for parents without children and significant new hope for children without parents."
Mr Abbott says Australia is in discussions about initiating adoption arrangements with seven other countries.
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