The House approved the wide-ranging appropriations in bipartisan votes, sending the legislation to the Senate which aims to act by a midnight Friday deadline when existing U.S. government funds expire.
The aid for Ukraine is intended to help bolster its military and provide humanitarian assistance to citizens, including an estimated 1.5 million refugees already seeking safety abroad.
House Speaker Nancy Pelosi indicated that the $13.6 billion is likely to be just the tip of a much broader aid effort.
"All of us will have to do more" to help Ukraine in coming weeks or months and over the long-term to help it rebuild, Pelosi told reporters at her weekly news conference.
