Fast bowler Jofra Archer of Rajasthan Royals is the next best with nine wickets.
New Zealander Boult has also taken a wicket in his very first over on five occasions this season.
On Saturday, Boult removed Shikhar Dhawan for a duck off the third ball of his over. In the previous game between the two teams on October 11, Boult removed Shaw off the third delivery of his first over.
Boult, who picked three wickets for 21 on Saturday, is among the top wicket-takers this IPL with 20 scalps. He is joint third with Kings XI Punjab fast bowler Mohammed Shami.