WASHINGTON  President Obama on Tuesday will nominate Ben S. Bernanke to a second term as chairman of the Federal Reserve, administration officials said.

The announcement is a major victory for Mr. Bernanke, a Republican who was appointed by President George W. Bush almost four years ago and who had briefly served as chairman of Mr. Bush’s Council of Economic Advisers.

A top White House official said Mr. Obama had decided to keep Mr. Bernanke at the helm of the Fed because he had been bold and brilliant in his attempts to combat the financial crisis and the deep recession.

“The president thinks that Ben’s done a great job as Fed chairman, that he has helped the economy through one of the worst experiences since the Great Depression and that he has essentially been pulling the economy back from the brink of what would have been the second Great Depression,” the White House chief of staff, Rahm Emanuel, said Monday night.