Marcus Stoinis lifted Delhi Capitals to a competitive total with a whirlwind fifty and then followed it with two wickets off the final two balls of the Kings XI Punjab innings to take the match into the Super Over.
The six-ball shootout, however, proved to be a cakewalk for Delhi as the exceedingly accurate Kagiso Rabada gave away two runs on the first ball and proceeded to dismiss KL Rahul and Nicholas Pooran in succession.
In response, Rishabh Pant and Shreyas Iyer walked out to surmount the uncomplicated task of three runs in the required six deliveries. Pant took only two legal balls as he clipped Mohammed Shami off his pads to stroll back for a couple to script an enthralling victory for the Capitals.
Kings XI Punjab had initially done extremely well to get themselves into a winning position after suffering a remarkable collapse in the middle overs. A steady opening partnership between Rahul and Mayank Agarwal was derailed by Mohit Sharma, which sparked a parade of single-digit scores from Punjab's power-packed middle-order.
Karun Nair and Pooran were deceived by the guile of Ravichandran Ashwin during what turned out to be the veteran off-spinner's only over of the game. Ashwin was trying to make a stop off his own bowling and ended up injuring his left shoulder. He was later spotted resting his shoulder in a sling, indicating doubts over his availability for the Capitals' next game.
Glenn Maxwell and Sarfaraz Khan also perished for minuscule contributions, leaving Kings XI in tatters at 55-5 at the halfway mark as the patient Agarwal stood watching the demise of his partners on the other end.
Just when the climbing asking rate and the pressure of a flurry of wickets seemed to weigh Punjab down, Agarwal took calculated risks to recover his side and vault them back into the contest.
Agarwal, who is considered to be a Test specialist for India, chose his shots carefully during his mature half-century as his 60-ball 89 was littered with sharp running between the wickets.
He found some luck as well as Iyer spilled a tough chance offered by the opener in the penultimate over, allowing the ball to parry to the boundary rope for a four.
The last over from Stoinis saw the Aussie being smashed for a towering maximum and a boundary through extra-cover but the Kings XI batters failed to score off two consecutive full-tosses in the end.
The fact that the dramatic encounter even entered the Super Over will forever be shrouded in controversy since the square-leg umpire adjudged a disputable short run despite Chris Jordan's bat appearing to be grounded in the crease.
Earlier, Delhi were floored for a majority of their innings as rebuilding efforts were frequently disbanded by tight spells from Shami and Sheldon Cottrell.
The Ricky Ponting-coached franchise looked like reaching a sub-130 total but Stoinis launched a breathtaking exhibition of power-hitting to plunder 57 runs in the last three overs.
He blasted a 20-ball fifty featuring three sixes and seven fours and hammered Jordan all across the park to ransack 30 runs in the final over of the innings.