WASHINGTON — The White House moved to exert greater control over the federal regulatory process on Thursday by imposing additional scrutiny over independent government agencies when they establish new policies, guidelines or rules that affect large swaths of the economy.

The new policy was laid out in a memorandum written by Russell T. Vought, the acting director of the Office of Management and Budget. It broadens the scope of rules that would be subject to White House review and scrutiny by Congress through the Congressional Review Act.

The additional oversight would apply to agencies such as the Securities and Exchange Commission, the National Labor Relations Board and the Federal Reserve. The White House review would not apply to the Fed’s authority to set monetary policy but would affect its regulatory arm, including rules on the banking system. The move comes as President Trump, frustrated by the Fed’s interest rate increases last year, has moved to install loyal allies on the Fed’s seven-member board.

Heightened scrutiny of federal rule-making has been a longtime cause of Republicans, who view it as a way to limit government. The Trump administration has also been wary in some cases of independent agencies, which are often managed by both Republicans and Democrats.