Ylan Mui writes the chamber voted 56-26Â in favor of her nomination.
Yellen will take over from Ben Bernanke at the end of the month as the Fed seeks to gradually withdraw economic support tools such as bond purchases, the Post reports.
Prior to her appointment, Yellen served as Fed vice chairman for three years and advocated for the establishment of a 2-percent inflation target.
She is a graduate of the University of California and Yale University.