Indian police say the organizers of the new tournament transforming world cricket could be fined if cheerleaders are deemed to be dressed indecently.
The cheerleaders have been introduced into the Indian Premier League as part of moves to add glamor and entertainment to the game.
Some politicians say the cheerleaders are "vulgar and obscene".
Mumbai police say they will be checking that the cheerleaders' performances do not violate entertainment licenses.
The cheerleading girls, wearing short skirts and low-cut tops, have been hired from around the world to perform during the matches which are also being heavily endorsed by leading Bollywood stars.
They include cheerleaders from the Washington Redskins.
Ram Rao Vagh, the police commissioner for New Mumbai, a suburb of Mumbai, where the home team is hosting five matches starting on Sunday, told the BBC that they were not considering any action against the cheerleaders themselves.
"It is difficult to enforce moral policing, we cannot define vulgarity always. It is difficult to ascertain what is vulgar and obscene," Mr Vagh said.
But he said the organizers could be fined for violating the norms of the entertainment license they had secured for allowing performances in the stadium.
Senior officers would decide whether the cheerleaders had crossed the "lines of decency".
"We live in India where womanhood is worshipped. How can anything obscene like this be allowed?," Siddharam Mehetre told the Press Trust of India news agency.
"This thing is meant for foreigners and not for us. Mothers and daughters watch these matches on television. It does not look nice."
Many others find the indignation misplaced, coming from a city, which is home to a thriving industry of Bollywood films where dance sequences featuring women in skimpy dresses are routine.
The head of India's National Commission for Women said there was nothing wrong with the cheerleaders if it "just for adding entertainment to the game".
A former Bollywood actor and a politician belonging to the opposition Bharatiya Janata Party (BJP), Shatrughan Sinha said the cheerleaders were making a "mockery" of the game.
There have been reports in the Indian newspapers of cheerleaders complaining of sections of the crowd jeering at them and making lewd comments.
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Image above: Jaclyn Case
