WASHINGTON—The Biden administration is poised to unveil a series of steps aimed at addressing the U.S. shortage of entry-level homes and rental properties, according to people familiar with the matter, moves designed to boost their financing and construction over the coming years.

The changes would draw upon the administrative authority of government regulators such as the Federal Housing Finance Agency as Congress weighs broader policy changes tied to the debate over revamping U.S. infrastructure, according to a draft plan reviewed Tuesday by The Wall Street Journal. Details could change before the White House releases its final version. FHFA oversees Fannie Mae and Freddie Mac, the two mortgage giants that back about half of the $11 trillion mortgage market.