The helicopters are produced by Finmeccanica's subsidiary AgustaWestland and till now India has already procured three of them to ferry VVIPs.
The advocate has sought SIT or CVC probe under the supervision of the apex court without involving CBI which, he alleged, is under government's control.
The petition said despite having information since 2011, no FIR was lodged against Indian citizens allegedly involved in the scam.
The PIL was filed after defence minister AK Antony ordered CBI probe into the allegations of payment of bribes of about Rs. 362 crore to clinch the deal.
Giuseppe Orsi, the head of Italian defence and aerospace giant Finmeccanica, was arrested on Monday in relation to a probe into international corruption.
The petition said the country which would have benefited from the deal has taken action while the country which lost money has not done anything and no arrest has yet been made.
The ministry of defence has decided to put on hold the receipt of the remaining nine of the 12 helicopters for which the Rs. 3600 crore deal was struck in 2010.