Shukla said all cricketers should not suffer because of the misdeeds of some greedy individuals.
"IPL will go on. To say that IPL should be shut down because of these things is wrong. It is such a big tournament and a lot many players are benefitting. If few players have done such wrong things that doesn't mean hundreds of good players should be blamed or suffer for that," he told reporters.
"The whole thing is that we need to weed out such (corrupt) elements and for that I am of the view that strong possible action should be taken against those who are found guilty," Shukla said.
Shukla's statement came after a special cell of the Delhi police arrested India pacer S Sreesanth and his Rajasthan Royals teammates -- Ajit Chandila and Ankeet Chavan -- for indulging in spot-fixing in at least three IPL matches as per arrangements with bookies who have underworld connections abroad.
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The players, who have been suspended by the BCCI, have been brought to Delhi and charged under section 420 (cheating) and 120-B (criminal conspiracy) of the IPC.
"Delhi police has done a commendable job. I appreciate the role played by Delhi police commissioner Neeraj Kumar," Shukla said.
Asked what would be the BCCI's stand on this issue, he said, "Whatever BCCI can do will do. The matter will also be discussed in tomorrow's working committee meeting."
Shukla also came in the defence of ICC's Anti-Corruption Unit (ACU).
"ICC ACU has been engaged for IPL. They have been looking after IPL. BCCI's own ACU is also involved in this process.