A Japanese finance ministry official who accompanied Aso to Sydney said any numerical target will signal the group's "ambition'' rather than act as a hard, binding goal.
The plan pursued by Australia is to come up with the global growth target now, then have each country develop an action plan and a growth strategy for delivery at the November G-20 summit, he said.
(Read more: G-20 mulls ambitious target for global growth)
Japan supports Australia's call for having a numerical global growth target as beneficial in the context of promoting G-20 policy coordination, the official said.
There was also a shared understanding at the G-20 that excessive market volatility was undesirable for keeping the global economy on a stable footing, he added.
Aso said there was not much finger-pointing over the market turmoil in January, which some emerging nations initially blamed on the U.S. Federal Reserve's tapering of its massive monetary stimulus.
(Read more: Australian Finance Minister: 'We could do better')
"I told the G-20 that it's necessary for emerging markets to make their own efforts to address domestic problems, such as high inflation and big current account deficits,'' Aso said.
He also dismissed the view that there was some concern in the global community over Japan's weakening economic growth, saying that the country's rising imports were a reflection of strong domestic demand.