The first T20 match will be played on March 4.
Sri Lanka will also play three One Day Internationals and two Test matches during their Bangladesh tour, which ends on April 3.
Sri Lanka T20 team: Wanindu Hasaranga (captain), Charith Asalanka, Kusal Mendis, Sadira Samarawickrama, Angelo Mathews, Dasun Shanaka, Mahesh Theekshana, Dhananjay de Silva, Kusal Perera, Dilshan Madushanka, Nuwan Thushara, Mathisha Pathirana, Akila Dhananjay, Binura Fernando, Kamindu Mendis, Avishka Fernando and Jeffrey Vandersay
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