WASHINGTON — The Senate on Thursday confirmed two nominees chosen by President Obama for the Federal Reserve Board of Governors, overcoming Republican objections and bringing the seven-member board to full strength for the first time since 2006, before the economic crisis.

The Harvard economist Jeremy C. Stein and the investment banker and lawyer Jerome H. Powell were confirmed easily after a morning of debate. The vote for Mr. Stein was 70 to 24, and for Mr. Powell, 74 to 21.

Neither has widely known views on the central policy questions facing the Fed: whether to take more action to reduce unemployment or whether the economy is already at risk of a dangerous acceleration of inflation.

For months, Senator David Vitter, a Louisiana Republican and a member of the Banking Committee, held up the nominations, saying the two men would be “rubber stamps” for the policies of the Fed chairman, Ben S. Bernanke, and, by implication, the Obama administration. Mr. Bernanke has already done more to increase economic growth and reduce unemployment than many of his conservative critics favor, while other critics — predominantly liberal — argue that he has not done enough.