The tournament, which will run until March 6, will be held in the Twenty20 international format for the first time and is expected to serve as a warm up for the ICC World Twenty20, to be held in India in March and April.
Afghanistan, United Arab Emirates, Hong Kong and Oman will play in a qualifying round for the Asia Cup from February 19 to 22 in Fatullah, on the outskirts of Dhaka.
That will determine the qualifying nation which will join the four Test-playing countries, India, Pakistan, Sri Lanka and Bangladesh.
Bangladesh will host the event for the fifth time, with all matches scheduled to be held at Dhaka's Sher-e-Bangla National Stadium.
Itinerary:
Feb 24: Bangladesh vs India at Mirpur
Feb 25: Sri Lanka vs qualifier at Mirpur
Feb 26: Bangladesh vs qualifier at Mirpur
Feb 27: India vs Pakistan at Mirpur
Feb 28: Bangladesh vs Sri Lanka at Mirpur
Feb 29: Pakistan vs qualifier at Mirpur
Mar 1: India vs Sri Lanka at Mirpur
Mar 2: Bangladesh vs Pakistan at Mirpur
Mar 3: India vs qualifier at Mirpur
Mar 4: Pakistan vs Sri Lanka at Mirpur
Mar 6: Final at Mirpur