head off any crisis of confidence following the failure of two major banks in recent days, insisting that Americans can have faith in the system even as he emphasized that the rescue does not constitute a taxpayer bailout.

In a brief televised statement from the White House shortly before the markets opened in the United States, Mr. Biden declared that the government was responding decisively to the collapse of Silicon Valley Bank and Signature Bank in a way that would protect depositors without rewarding risk-taking executives and investors.

“Americans can rest assured that our banking system is safe. Your deposits are safe,” the president said. “Let me also assure you we will not stop at this; we’ll do whatever is needed.”

Mr. Biden said that the government would make certain that deposits would be available on Monday so that small businesses can pay their workers and workers can pay their bills. “Your deposits will be there when you need them,” he said.