Australia set 122-run target for Bangladesh in the second T20 of the five matches at Sher-e-Bangla National Cricket Stadium in Dhaka on Wednesday.
Losing seven wickets, the visiting team were able to score 121 runs in 20 overs.
Bangladesh won the first match by 23 runs to take a 1-0 lead. Both of the sides remained unchanged.
The victory in the first match was Bangladesh’s first in this format against Australia. The series in fact is the first bilateral T20 series between the two sides.