CSK were reduced to 110-3 in 15 overs, needing 58 from the last five overs, but the lower order, including Mahendra Singh Dhoni, were unable to go after the bowlers as they lost the match by 10 runs.
KKR posted a competitive 167, courtesy of Rahul Tripathi's brilliant 81 from 51 balls.
In the IPL match against Rajasthan Royals in Abu Dhabi on Tuesday, Kieron Pollard pocketed a sensational catch to turn the game in Mumbai Indians's favour.
The Mumbai Indians No 3 hit a brilliant 79 from 47 balls, putting on 76 runs from 38 balls with Hardik Pandya (30 from 19 balls) to propel Mumbai to a huge 193-4 in their 20 overs.
Not only were Royal Challengers Bangalore outplayed in all departments by Delhi Capitals, Virat Kohli was outdone by his opposite number Shreyas Iyer.
It was Marcus Stoinis at his destructive best on Monday as he took the RCB bowling apart in the final few overs.
Yuzvendra Chahal took 3/24 in his four overs which was instrumental in Royal Challengers Bangalore outclassing Rajasthan Royals by eight wickets.
Devdutt Padikkal stroked a sparkling 63 from 45 balls, inclusive of a six and six fours, to propel RCB to a comprehensive eight-wicket victory against Rajasthan Royals.
SunRisers Hyderabad looked a happy bunch as the players cut a cake to celebrate their victory against Chennai Super Kings, the IPL match, in Dubai on Friday.
Shivam Mavi took 2-20, while Kamlesh Nagarkoti claimed 2-13, as the two youngsters put in a superb display to bowl KKR to victory.
Jos Buttler, Steve Smith and Sanju Samson could only manage 31 runs between them.
The experienced Shikhar Dhawan had got a measure of the wicket and if he had stayed at the wicket for a few more overs, it would have given licence to the likes of Rishabh Pant to chance their arm and hit a few boundaries to bring the asking rate under control.
The leg-spinner was at his mercurial best in Abu Dhabi on Tuesday as he bowled a splendid spell of 3-14 in four overs, including 11 dot balls, to send Delhi Capitals crashing to defeat.
Kings XI Punjab's Nicholas Pooran came up with an unbelievable piece of fielding on the boundary during the IPL match against Rajasthan Royals.
The Kerala youngster delighted once again with his magical batting at the Sharjah Cricket Stadium.
At one stage, Rahul Tewatia was struggling on 17 from 23 balls, before he smashed his way to a remarkable 53 from 30 balls to help Rajasthan Royals make IPL history.
'He had that attitude that I will never give up no matter what the circumstances.'
Chetan Sharma salutes the memory of Dean Jones.
Dean Jones, who was doing commentary for the ongoing IPL for official broadcasters Star Sports, suffered a massive heart attack in Mumbai.
Captain Rohit Sharma led from the front with the bat with a magnificent half-century to propel Mumbai Indians to a thumping 49-run victory against Kolkata Knight Riders, in Abu Dhabi, on Wednesday.