He also dismissed the possibility of a snap poll in the wake of the standoff between his government and Left parties on the deal.
"Why do you think so? All these problems can be resolved and will be resolved amicably", he said in reply to a question from reporters whether the country is heading for snap poll following the Left parties rejection of the deal.
Singh's remarks on the sideline of Vice President Mohammad Hamid Ansari's swearing in function came after he had in a newspaper interview dared the Left to withdraw support to his government on the issue.
Asserting that the Indo-US civil nuclear agreement is not re-negotiable, the Prime Minister said "the deal is signed and sealed."
United Progressive Alliance Chairperson Sonia Gandhi said there was no threat to the government and she didn't see possibility of snap poll.
"Where is the question of mid-term poll? All problems will be resolved. There is no problem," the Prime Minister said adding his statement in the newspaper interview should be seen as "conditional."
"Treaties are not negotiated like rabbits out of hat... The deal is signed and sealed. It is not renegotiable", Singh said when asked whether the deal, which has earned the wrath of the Left, was renegotiable.
Singh dismissed suggestions of a crisis for his coalition in the wake of the Left rejection of the deal and its warning that the government would have to pay a heavy political price. "What crisis?" he snapped back.
The prime minister was categorical that he has been able to "deliver" on the promises he had made in the Rajya Sabha on the deal.
"If the prime minister could deliver, it is alright," he said adding.
"We are colleagues. I am confident we will resolve all these things amicably," the prime minister said when asked whether the government would be talking to Left parties.
Singh said he would make a statement on the deal in Parliament on Monday.
"No, no, no", said Gandhi when asked whether the country was heading towards a snap poll in the wake of Left threat.
Gandhi, however, declined to take questions saying she stood by the prime minister.
CPI(M) leader Sitaram Yechury, who was the centre of media attention after the PM's comments daring the Left, said, "I am not saying we are satisfied. We will go by our own counsel".
"We don't treat this as a snub", he said adding the issue would be debated in Parliament.
More from rediff