Australian Foreign Minister Bob Carr conveyed the invitation to Suu Kyi yesterday during his three-day visit to the Asian nation.
The Burmese opposition leader said she would be delighted to come, probably next year.
"I was brought up on songs like 'Kookaburra sat in the old gum tree' so I feel like I know a lot about Australia already," Suu Kyi said in Rangoon.
Suu Kyi said over the years sanctions on Burma had helped pave the way for reform.
Carr said Australia was easing sanctions on the country.
"This country needs investment that benefits the people, responsible investment," he said.
