A bench headed by Chief Justice T S Thakur rejected the plea in which Swamy had alleged that there were no allegations against either former BCCI President N Srinivasan or against any members of CSK and hence the ban imposed by the Justice R M Lodha panel was "illegal, arbitrary and unreasonable".
The Lodha panel had banned CSK and Rajasthan Royals after holding that its top officials like Raj Kundra and Gurunath Meiyappan were found involved in betting.
The apex court had reserved its order on Swamy's plea on October 4.
During the hearing on the plea, the bench, also comprising Justices A M Khanwilkar and D Y Chandrachud, had observed that the Lodha panel findings and its recommendation to ban CSK and Rajasthan Royals has "become final".
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Star-studded CSK, then led by M S Dhoni, and Rajasthan Royals were on July 14 last year suspended for two years from the Indian Premier League in a clean-up exercise following the 2013 betting scam involving their top officials Meiyappan and Raj Kundra.
The punishments were handed down by a three-member panel headed by former CJI R M Lodha which was asked by the Supreme Court to decide the quantum of punishment after finding them guilty of betting.
The Madras High Cout had also dismissed a similar petition by the owner of CSK challenging Justice Lodha panel's order.