The Senate passed the bill with a unanimous vote.
The bill also reimburses the National Guard for the costs spent to secure the Capitol in the wake of the January 6 riot.
Earlier this week, US President Joe Biden asked Congress for $1 billion to be allocated towards efforts to relocate Afghan nationals who assisted American forces during the war.
Relocation flights for the first group of Afghans applying for Special Immigrant Visa (SIV) status are set to begin this week, the White House said earlier in the month. One known resettlement location is Fort Lee in Virginia, where the SIV applicants and their families will temporarily stay until the vetting process completes.