Sahibzada Farhan top-scored with 74 while fellow opener Saim Ayub struck 66 as Pakistan posted a total of 189-4 in their 20 overs after electing to bat first at the toss.
Spinner Roston Chase was the pick of the Windies bowlers with figures of 1-31 in his four overs while seamers Shamar Joseph and Jason Holder took a wicket apiece.
The Caribbean side were well-placed in the run-chased thanks to 60 from opener Alick Athanaze and Sherfane Rutherford, who struck a 35-ball 51.
Pakistan though fought back gallantly and chipped away in the wickets column with left-arm wrist-spinner Sufiyan Muqeem keeping it tight with 1-20 in his four overs.
West Indies were eventually restricted to a total of 176-6 to give Pakistan a 2-1 series win.
Australia Women star Ellyse Perry wrote another chapter in her storied career by almost single-handedly guiding her side to an 113-run win over Pakistan at the ICC Women's T20 World Cup.
The Proteas Women revived their ICC T20 World Cup campaign with a two-wicket victory over Pakistan in their Group A encounter at Edgbaston on Wednesday.
West Indies have recalled wicketkeeper Joshua Da Silva and top-order batter Amir Jangoo to their squad for the upcoming two-match Test series at home against Sri Lanka.
Pakistan claimed a convincing 4-wicket victory over Australia in the 3rd ODI at Gaddafi Stadium, Lahore, on Thursday wrapping up the chase with 49 balls to spare.
