Uncapped batsmen Junaid Siddique and Nazimuddin and pace bowler Ziaur Rahman were in the squad announced on Thursday.
Batsman Alok Kapali got a recall.
''We have dropped Rafique and Nafees as their performances during the July tour to Sri Lanka were not satisfactory,'' chief selector Faruk Ahmed told a news conference.
Bangladesh suffered 3-0 defeats in the Test and one-day series against Sri Lanka.
The Twenty20 world championship runs from Sept. 11 to 24.
Squad: Mohammad Ashraful, Aftab Ahmed, Tamim Iqbal, Saqibul Hasan, Mashrafe Bin Mortaza, Farhad Reza, Alok Kapali, Mahmudullah Riyad, Mushfiqur Rahim, Abdur Razzaq, Junaid Siddique, Nazimuddin, Nadif Chowdhury, Syed Rasel, Ziaur Rahman.