The Trump administration said Friday it would continue to block Associated Press journalists from places like the Oval Office and Air Force One because the wire service was using the name Gulf of Mexico instead of Gulf of America.

Taylor Budowich, the White House deputy chief of staff, said in a post on X that “while their right to irresponsible and dishonest reporting is protected by the First Amendment, it does not ensure their privilege of unfettered access to limited space.” He said A.P. journalists would still have credentials to enter the White House complex.

A.P. reporters were blocked from several White House events this week, including an executive order signing in the Oval Office and a news conference between Mr. Trump and Prime Minister Narendra Modi of India.

On Friday, a spokeswoman for The A.P., Lauren Easton, said in a statement that though the White House had said it supported freedom of speech, “the actions taken to restrict A.P.’s coverage of presidential events because of how we refer to a geographic location chip away at this important right enshrined in the U.S. Constitution for all Americans.”

The A.P.’s executive editor, Julie Pace, said in a statement earlier this week that the outlet was prepared to “vigorously defend its constitutional rights.”

The A.P. has explained that as an international news source, it would continue calling the body of water the Gulf of Mexico because Trump’s executive order carried authority within the United States and had not been recognized by Mexico. Most of the Gulf of Mexico lies outside maritime waters controlled by the United States.

The outlet did, however, say it would refer to Denali, the peak in Alaska, as Mount McKinley, a change that Mr. Trump declared in the same order.

Charlie Stadtlander, a spokesman for The New York Times, said in a statement on Friday: “We stand by The Associated Press in condemning repeated acts of retribution by this administration for editorial decisions it disagrees with. Any move to limit access or impede reporters doing their jobs is at odds with the press freedoms enshrined in the Constitution.”