The match ended in a draw after Delhi, chasing 186 for victory, finished the frame 20 on 185 for six with Prithvi Shaw hitting 99 at Feroz Shah Kotla Stadium New Delhi.
Rabada then returned to bowl two wonderful Yorkers in the Super Over – the first of this edition of the popular Twenty20 tournament in the world.
Kolkata bit Andre Russell, who smashed 62 off 28 deliveries to 185-8 of his team, was on the receiving end in exactly Rabada.
South African Paceman Russell rattling the stumps on the third ball, with Kolkata manage only seven runs in his six deliveries in reply to Delhi 10.
"Obviously, a lot of nerve … You need to keep your wits about you and be very clear on what you need to bowl," said the 23-year-old Rabada.
"I just went with the Yorkers, and it worked in the end. I clearly and supported my plan. "
T20 extravaganza is tentatively scheduled to be completed May 12 with eight franchise fight in the season 12 cash-rich league.