Shakib, who was adjudged Man of the Series for scoring the most runs and taking three wickets, won his first T20I series as captain.
This is Bangladesh's first T20I series win over West Indies, and second overall after they beat Ireland 3-0 in 2012.
Defending 171 after sparkling fifties to Tamim Iqbal and Shakib Al Hasan, Bangladesh took wickets regularly to check a stumbling West Indies’ chase.
Sri Lanka vs England - 2nd Test
ENG 164/4 OVERS: 43.3
SL 126 (35.5 Ovs)
England beat Sri Lanka by 6 wickets
Bangladesh vs West Indies - 3rd ODI
WI 177 OVERS: 44.2
BAN 297/6 (50.0 Ovs)
Bangladesh beat West Indies by 120 runs
05 Feb, 2021 09:30 IST
MA Chidambaram Stadium, Chennai
Bangladesh vs West Indies - 1st Test
03 Feb, 2021 09:00 IST
Zahur Ahmed Chowdhury Stadium, Chattogram
Pakistan vs South Africa - 1st Test
26 Jan, 2021 10:30 IST
National Stadium, Karachi
Pakistan vs South Africa - 2nd Test
04 Feb, 2021 10:30 IST
Rawalpindi Cricket Stadium, Rawalpindi
Afghanistan vs Ireland - 3rd ODI
26 Jan, 2021 11:30 IST
Sheikh Zayed Stadium, Abu Dhabi
Afghanistan vs Ireland - 3rd ODI
26 Jan, 2021 11:30 IST | 06:00 GMT
Sheikh Zayed Stadium, Abu Dhabi
Bangladesh vs West Indies - 1st Test
03 Feb, 2021 09:00 IST | 03:30 GMT
Zahur Ahmed Chowdhury Stadium, Chattogram
Bangladesh vs West Indies - 2nd Test
11 Feb, 2021 09:00 IST | 03:30 GMT
Shere Bangla National Stadium, Mirpur
Afghanistan vs Ireland - 2nd ODI
Afghanistan beat Ireland by 7 wickets
Bangladesh vs West Indies - 2nd ODI
Bangladesh beat West Indies by 7 wickets
Afghanistan vs Ireland - 1st ODI
Afghanistan beat Ireland by 16 runs
Bangladesh vs West Indies - 1st ODI
Bangladesh beat West Indies by 6 wickets
India beat Australia by 3 wickets