WASHINGTON — House Speaker Nancy Pelosi and Treasury Secretary Steven T. Mnuchin reached a deal Friday on an economic stimulus package to address the coronavirus, providing paid sick leave for workers and pumping billions of dollars to states for food programs and unemployment benefits.

Pelosi announced the agreement Friday evening, not long after President Donald Trump trashed it at an afternoon news conference.

“We are proud to have reached an agreement with the administration to resolve outstanding challenges, and now will soon pass the Families First Coronavirus Response Act,” she wrote in a letter to colleagues late Friday.

A few hours later, President Trump tweeted his own endorsement. “I encourage all Republicans and Democrats to come together and VOTE YES!,” Trump wrote.

The deal hit a last-minute hitch when some Republicans reportedly voiced concerns about some elements. But Trump’s support will likely sway many House Republicans, and more important, the GOP-controlled Senate, which is expected to consider the bill next week. House Democrats were moving toward approving the measure later Friday.