The win also took SRH to second place with 10 points while RCB, who are still placed third, will like to forget this game as a bad dream.
There couldn't have been a quicker end to a contest as Jansen removed Faf du Plessis (5), Kohli (0) and Anuj Rawat (0) off second, third and final delivery of the second over to make it 8 for 3.
It soon became 20 for 4 when Natarajan got Glenn Maxwell (12) caught brilliantly by skipper Kane Williamson at mid-off. The other player to reach double figure was Suyash Prabhudesai (15).
READ| IPL 2022: SRH owner Kaviya Maran dances while celebrating Shahbaz Ahmed's wicket, video viral
There was not much resistance from the other batters and once Dinesh Karthik (7) was caught down leg-side off Suchith trying to sweep, it was all over for RCB.
Once it was 47 for 6 after nine overs, the lower order looked mortally scared facing the fast and furious Umran as it seemed as if the ball was hitting the bat rather than the other way round.
Natarajan also kept up the pressure, snuffing out the wickets as veteran Bhuvneshwar Kumar wrapped up the innings.
With inputs from PTI