U.S. antitrust regulators have agreed to put Amazon.com Inc. under the oversight of the Federal Trade Commission, while Alphabet Inc.-owned Google LLC will be under the U.S. Department of Justice's jurisdiction, The Washington Post reported June 1, citing people familiar with the matter.

According to the report, the move is the result of the FTC and Justice Department aiming to improve their supervision of the two industry giants.

The two agencies' plans and interests for both companies were not immediately clear, the newspaper added. However, the report noted that such an arrangement typically signals more serious antitrust scrutiny from regulators.

The FTC declined to comment, while the Justice Department previously declined to provide a statement, citing a policy against confirming or denying investigations, the report said. Amazon and Google did not immediately respond to requests for comment from S&P Global Market Intelligence.

The news comes the same day as a report in The Wall Street Journal said the Justice Department is preparing to conduct an antitrust investigation against Google. The New York Times also reported that a task force is looking into how Google arranges search results, how it integrates its search platform with its other services and its advertising practices.