The Secret Service tweeted: "No other reported injuries related to the incident at the White House".
The authorities on Sunday confirmed the death of the gunman, who had shot himself in front of the White House on Saturday.
The security scare came a little more than a week after a vehicle hit a security barrier near the White House, resulting in the arrest and charge of a 35-year-old driver.
President Donald Trump is not at the White House, but at his Mar-a-Lago estate in Florida.
"The Secret Service issued a statement, confirming "(he) removed a concealed handgun and fired several rounds, none of which appear at this time to have been directed towards the White House".More news: 'Beast from the East' sends Europe mercury plummeting
No one else was injured, although there were reports that people at the White House sheltered in place.
The victim suffered a single gunshot wound, and Secret Service personnel did not fire any shots, Secret Service spokeswoman Cathy Milhoan said.
CBS News security analyst Ron Hosko said: "You can get pretty darn close to the White House with a weapon".
Geoff Bennett, White House correspondent for NBC News, said that journalists were "sheltering" in the press briefing room. They are scheduled to return for a dinner in Washington on Saturday evening.