With the debt ceiling "the Republicans have said because the president is busting the budget with all his spending, he's going to have to cut spending by the same dollar amount as his debt ceiling," Norquist said. "If he tries to weasel out of his agreement we had 2 years on this subject it's not going to work. That's where the Republicans and the American people stand together against Obama's overspending."
(Read More: US May Hit Debt Ceiling by Mid-February: Report)
While some have suggested a debt ceiling fight would lead to a government shutdown, Norquist doesn't expect one.
Hitting the debt ceiling only means the government can't borrow anymore, Norquist said. If you get a 10 percent cut in salary, you still pay your mortgage, you reduce other spending first, he added.
(Read More: The Debt Ceiling Is Constitutionally Required)
"The president has tried to turn that upside and threaten the country's solvency by saying he would cancel the country's debts," Norquist said. "He can't do it, he won't do it, he's lying when he says that's what he'll do."
Norquist added, "We'll pay our debts, but we won't pay for Obama's crazy spending."