"I am not inclined to grant parole," Justice Siddharth Mridul said, adding that the convict Sharma can approach an appropriate authority of the government.
Sharma had sought parole for two months, saying he needs to take care of his ailing mother.
Sharma, a former Youth Congress leader, was convicted for murdering his wife Naina, whom he suspected of infidelity.
He shot her with his licensed revolver on July 2, 1995, took her body to a restaurant, chopped it into small pieces and tried to burn it in the restaurant's tandoor (oven).
The high court had upheld his death sentence in February 2007. The Supreme Court, however, commuted the death penalty to life imprisonment October 8, 2013.