The president did not indicate that he would veto the housing bill, and the White House declined to provide further comment.
Democrats criticized Trump for his refusal to sign the measure.
House Minority Leader Hakeem Jeffries expressed his view on X: "Republicans would rather make it harder to vote than easier to afford a home."
Senate Top Democrat Chuck Schumer also commented: "His priorities couldn't be clearer: higher costs for families and more power for himself."
Trump's focus on the Save America Act has heightened concerns regarding the administration's preparations for the upcoming midterm elections.
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On Thursday, the president fired the final three commissioners on an independent federal body that assists election administration nationwide.
