"We are not inclined to entertain any of these appeals and they are dismissed," a bench of Justices F M I Kalifulla and Shiva Kirti Singh said.
Besides 80-year-old Chautala's appeal, the bench also dismissed the plea of his son Ajay Singh Chautala, 54, and others in the case saying that the Delhi High Court verdict was "reasoned one".
The court, however, said that the convicts may move the high court with their pleas seeking relief like parole on health ground.
A Supreme Court judge had on July 6 recused himself from hearing Chautala's plea saying he had appeared for some of the convicts in the case.
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The high court had on March 5 upheld the jail term awarded to Chautala, his son Ajay and three others, saying, "The overwhelming evidence showed the shocking and spine-chilling state of affairs in the country."
The father-son duo and 53 others, including two IAS officers, were convicted on January 16, 2013 by the trial court for illegally recruiting 3,206 junior basic trained (JBT) teachers in Haryana in 2000.
All the 55 convicts have been sentenced under sections 120B (criminal conspiracy), 418 (cheating), 467 (forgery), 471 (using forged documents as genuine) of IPC and provisions of the Prevention of Corruption Act.
The high court had modified the trial court's order on the quantum of sentence and awarded two-year jail term to 50 other convicts.