Ricky Ponting's team, fresh from a 3-0 Test verdict in South Africa, are on their first full tour of Bangladesh during which they will also play three One-day internationals.
Bangladesh dropped batsman Mushfiqur Rahim while recalling pace bowler Mashrafe bin Mortaza, who was rested for the Tests against Sri Lanka but played in recent One-dayers against Kenya.
The Australian cricketers, who were welcomed by hundreds of fans at the airport on Thursday, play the first Test in Fatullah near Dhaka from Sunday.
The second Test will be in the eastern port city of Chittagong from April 16 and will be followed by the One-dayers.
Bangladesh, who blanked Kenya 4-0 at home, have had creditable One-day performances in recent months, including a shock victory over world champions Australia last year in England.
But they have won just one of their 42 matches since gaining Test status in 2000, against a depleted Zimbabwean side at home last year.
Bangladesh squad: Habibul Bashar (capt), Khaled Mashud (vice-capt), Javed Omar, Rajin Saleh, Mohammad Ashraful, Shahriar Nafees, Nafees Iqbal, Shahadat Hossain, Aftab Ahmed, Alok Kapali, Mohammad Rafique, Enamul Haque, Mashrafe bin Mortaza, Syed Rasel.