He said it was for the courts and CBI to decide on the case.
Training his gun at Congress, Jaitley today alleged that those guilty for the "state sponsored" violence still remain unpunished.
Describing the "massacre" of innocent Sikhs after the Indira Gandhi as a "black spot" in democracy, the BJP leader, wrote in his blog, "The fact that the innocents can be killed in thousands is terrible. What is worse is that the guilty went unpunished."
He later said the defence of the guilty by Singh is "another blot" on the country.
Akali Dal today staged a protest outside Congress headquarters here against Singh's remarks on the anti-Sikh riots of 1984.
Scores of Akali activists reached the Congress office at 24, Akbar Road, holding placards and raised anti-Congress slogans and clashed with police, which had erected barricades to stop them.
As the protesters refused to budge, police resorted to use of water cannon to disperse them.
Referring to the protests staged by the Akali and BJP workers, Singh said, it showed their frustration as they are not able to generate any momentum in Punjab. Their rallies in Amritsar are failing and getting cancelled and now they are trying to resort to emotive issues.
"They have always opened the old wounds of people for their petty partisan interests and they are doing the same now," he said, adding that "my naming or not naming someone is immaterial as the matter is under investigation and will be decided by the courts".
Meanwhile, All India Sikh Students Federation (AISSF) and radical Damdami Taksal urged the Election Commission to direct political parties not to exploit the issue of 1984 riots for political mileage.
Punjab's key political outfits SAD, BJP and Congress should not exploit the issue of the 1984 riots during their campaigning, AISSF head Karnail Singh Peer Mohammed and Damdami Taksal chief Mokham Singh said at Moga.