Delhi went to a bad start after losing three wickets for just 40 runs in the Powerplay overs before Morkel and Cedar Jadhav (20) repaired the damage by adding 48 runs for the fourth wicket.
Earlier, two-time champion, CSK were caught in a net spin and could only manage a modest 150/7.
Put into bat, opener Dwayne Smith (34) and middle order batsman Faf du Plessis (32) provides a good platform for Chennai Delhi but spin trio of Amit Mishra (1/21), Imran Tahir (1/27) and JP Duminy (1/15) bowled beautifully to restrict Chennai to a modest score.
With wickets falling, Mahendra Singh Dhoni also found the going difficult. In the end, Captain Chennai struck two sixes in the past to lead his team near the 150-mark.
Australian pacer Nathan Coulter-Nile was the highest wicket-taker Delhi while scalped three for 30 in his four overs at the MA Chidambaram Stadium.
With wickets falling, Mahendra Singh Dhoni also found the going difficult. In the end, Captain Chennai struck two sixes in the past to lead his team near the 150-mark.
Australian pacer Nathan Coulter-Nile was the highest wicket-taker Delhi while scalped three for 30 in his four overs at the MA Chidambaram Stadium.
Previously, Chennai Smith gave a flying start as he targeted three fours in the opening to accumulate 16 runs.
His opening partner Brendon McCullum (4) also hit a limit on the first ball of the next over, but Nathan came roaring back, the captain of New Zealand dismissed the next ball to strike an early blow.
Nathan struck again in his second over he cleaned Suresh Raina reduce Chennai to 38 for two.
New man du Plessis then joined Smith and opened a couple of boundaries off Albie Morkel Joseph and Domnic.
Faf du Plessis scored a quick 24-ball 32 before falling victim to JP Duminy (TOI Photo)
Delhi captain Imran Duminy introduced spinners and following Amit and the plan worked like South Africa gave an easy catch at deep midwicket Nathan in search of a frontier.
Ravindra Jadeja next batter wasted no time they broke a four six in 10 balls stay while du Plessis delivered in singles and twos to keep the scoreboard ticking with spinners bowling in tandem.
After 12 more, du Plessis hit Duminy for a four over extra cover but was fired in the next ball when he tried to smash another ball to a limit, only to be captured by Shreyas Iyer on the fence.
India captain Mahendra Singh Dhoni then joined Jadeja but the latter could not stay longer as it was drunk by Mishra goggle that sent his stumps for a walk.
Domnic José joined the party, get rid of Dwayne Bravo with a delivery that caught him in front of the window as Chennai fell to 120 for six in 16.4 over.
Dhoni tried his hand and struck two sixes in the final over before holing out to Mayank Agarwal as Chennai 150 recorded at the end.
