The order to shutter the agency’s headquarters follows another order issued Saturday by Mr. Vought, who also leads the Office of Management and Budget, telling agency employees to halt nearly all their work.

Vought said Saturday he notified the Federal Reserve the CFPB will not receive its next draw of federal funding—claiming it’s “not ‘reasonably necessary’ to carry out [the agency’s] duties”—amid multiple reports indicating Vought emailed agency staff Saturday to say they should halt all of their work.