First, Narine starred with the ball after his Invincibles won the toss and elected to field first.
In his 20 balls, Narine took 2-14 to help restrict the Spirit to 131 from their 100 balls.
Adam Rossington led the way for the Spirit with 39 while Matthew Wade hit 37.
The Invincibles then reached 132-7 with only one ball to spare. Sam Curran hit 34 while Captain Sam Billings made 25.
Narine hit 13 from five balls including the winning runs. Daniel Worrall, Jordan Thompson and Nathan Ellis all took two wickets, each, for the Spirit.
Pooran hit a 41-ball 65* including four fours and as many sixes, following up his 62 in their previous game against the Southern Brave, to help the Superchargers post 145-5 from their hundred balls after being put in to bat by the Invincibles.
Sam Curran was the best bowler on the day for the Invincibles with 2-20 from 15 balls.
The Invincibles were then restricted to 126-9 from their 100 balls in reply.
Donovan Ferreira tried his best with a fighting 24-ball 49 including two fours and five sixes but excellent spells of 2-18 off 10 balls from Matthew Potts and 2-26 from 20 balls from Jordan Clark proved too hard to overcome.
The Invincibles were in trouble after being reduced to 34 for five with England stars Jason Roy and Sam Curran out for ducks.
However, Neesham and Tom Curran rallied as they combined to add 127 off 65 balls and set a challenging total of 161 for five.
The Originals made an indifferent start as Phil Salt was caught by Sam Curran off brother Tom and Manchester scored just 14 runs as a further three wickets fell, with Jos Buttler, Wayne Madsen and Laurie Evans all dismissed.
Max Holden tried to keep their hopes alive with a spirited 37 before falling to Sam Curran as the Invincibles ensured Manchester fell to a second successive final defeat.
