The bill aims at restoring benefits to 2.5 million Americans who have been out of work for over six months.
After the legislation is passed, it will be sent to President Barack Obama to sign it into law.
The programme which ensures unemployments benefits to jobless Americans was dropped in May 2010 after the Republicans and Democrats failed to decide on how to come up with 34 billion dollars required to extend it.
This stalemate in Congress had affected millions of Americans.
However, once the bill is transformed into a law by the ink of the US President, the unemployed people could expect to receive payments as early as next week, state media reports.