The next question is what happens in the Republican-controlled Senate?
New Jersey' Democratic Sen. Bob Menendez said getting the votes in the Senate is going to be a battle.
He's been through this with past versions of the bill.
"What we're going to do is to try to shame our Republican colleagues as we've had to do this in the past," Menendez said.
Menendez says he gets pushback all the time.
"'Why is New York coming back for more money?' And I have to explain first of all it's not New York coming back for more money. It's the heroes of September 11 who have a need and we have to take care of them," said Menendez.
Nine GOP members are on board, but more are needed.