China and 20 other countries signed a memorandum of understanding last October to establish the Beijing-headquartered USD 50 billion Asian Infrastructure Investment Bank (AIIB) bank.
Britain, France, Germany, Italy and Russia have also announced plans to join, despite scepticism about the AIIB in Washington and Tokyo.
South Korea on Thursday became the latest country with close ties to the US to say it would also seek membership.
"Good progress has been made on the bank's design, governance and transparency over the past few months, but we still have issues that we will address through ongoing consultations," Prime Minister Tony Abbott, Treasurer Joe Hockey and Foreign Minister Julie Bishop said in a joint statement.
The government said it would sign a memorandum of understanding which will allow Australia to take part in negotiations as a prospective founding member to set up the bank.
The ministers added that the AIIB "has the potential to play a valuable role in addressing infrastructure needs and boosting economic growth in the region with potential benefits for Australia".
The new multinational lender is seen as a threat to the World Bank and the Asian Development Bank, two institutions under strong US influence.
China's President Xi Jinping said on Saturday his nation's new Asian investment schemes, including the AIIB, were not meant to displace existing regional programmes, state-run Xinhua news agency reported.
China is expected to foot the bulk of the initial money needed to get the bank started, with donations from other members set to increase the size of the overall fund to more than USD 100 billion.
