Kohli, Rohit and Rahul struck fifties to help the hosts chase down 315.
Pooran played a blinder but Rohit, Rahul struck tons while Kuldeep picked up a hat-trick to seal the win.
West Indies beat India by eight wickets in the first ODI in Chennai on Sunday.
Rahul, Rohit and Kohli struck half-centuries before the pacers demolished West Indies, India seal series by 2-1.
West Indies registered a comprehensive 8-wicket win against India in the second T20I in Thiruvananthapuram on Sunday.
Virat Kohli passion-induced 94 guides India to highest-ever T20I run chase in first T20I against India on Friday.
Windies name ODI, T20 squad for upcoming series, Andre Russell excluded.
Bhuvneshwar returns for T20s and ODIs against West Indies, skipper Kohli also back in T20Is.
