CPI(M) also dubbed the disruption of Parliament as "match fixing" between BJP and Congress.
"Demanding resignation of the government is meaningless and it does not happen," CPI(M) leader Sitaram Yechury told reporters outside Parliament.
"On the garb of PM's resignation demand, you are allowing the government a free hand to do what ever they want. This is one kind of match fixing between BJP and the Congress," he said.
CPI National Secretary D Raja said the Supreme Court has passed "really strong strictures" against the government on the working of the CBI while Forward Bloc Secretary G Deverajan said no other Prime Minister has faced such criticism from the apex court.
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However, both the leaders said the Left parties were not seeking Singh's resignation as they wanted to listen to the Prime Minister who should own moral responsibility for the developments.
"The Prime Minister should own up responsibility and face Parliament. Now the continuation of the Law Minister has become untenable," Raja said.
Deverajan said the Prime Minister owes an explanation as he was in-charge of the Coal ministry at the time of the scam.
Yechury said, "Observations made by the SC have only vindicated what we are saying all along that the CBI is becoming a political arm of the government of the day and that is not in the interest of the country. We are for independent panel of advocates for CBI.