BJP also targeted Congress chief Sonia Gandhi and party vice president Rahul Gandhi over the issue and dared them to get Singh to step down.
Singh has no "moral right" to continue in office, BJP leaders said while terming Congress the "mother of all corruption".
"It is a clear case of corruption. It is evident that he (Singh) misused his position as Union Steel Minister during UPA rule and indulged in corruption, which has been exposed now in this case. He has no moral right to continue," Union Minister JP Nadda said here.
"While Congress is the 'mother of all corruption', Singh is the 'symbol of corruption' who was allowed to flourish by the 'corrupt' Congress," he alleged. "We demand that if he does not resign of his own, the Congress leadership should immediately sack him."
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"If there is any morality left in him (Singh), he should resign immediately as chief minister," added Sharma, the in- charge of BJP's Himachal affairs.
Sharma also claimed that the Congress government in HP has lost public support and people's confidence on the ground.
Meanwhile, Nadda, who hails from HP, said, "The Congress government in HP has become a den of corruption and the common people are suffering. What more can you expect from a government which is led by a tainted chief minister."
Terming the action "highly vindictive", senior Congress leader Ghulam Nabi Azad said it had set a "shocking example of politics stooping to its lowest ebb".