The whistleblower website Wikileaks on Wednesday published the full text of the Victorian Supreme Court court order made on June 19.
Australian media organisations cannot legally publish the contents of the order, which was made to prevent damage to the country's international relations.
Dr Yudhoyono has now asked the Australian government give an explanation of the case.
"We want to hear directly from Australia," he said in a statement on Thursday.
Wikileaks claims the court order effectively blacks out the largest high-level corruption case in Australia and the region.
The group's founder Julian Assange has called the suppression order the worst in "living memory", and argues the public has the right to know about the case.
Assange is still holed up in the Ecuadorian embassy in London in a bid to avoid extradition to Sweden to face sexual assault allegations.