The House and Senate on Thursday both approved a $2.1 billion supplemental security spending package that directs much-needed funding to the U.S. Capitol Police and National Guard, under strain following the January 6 attack on the U.S. Capitol, and bolsters federal efforts to relocate Afghans who aided U.S. troops during the war in Afghanistan.

The legislation passed the Senate with unanimous support in a 98-0 vote. It was then swiftly taken up by the House, which approved the spending bill 416 to 11. In the Senate, Republicans Roger Marshall of...