CBS News reported web links from the Twitter account @BarackObama were redirected to a YouTube account under the name "Syrian truth," which posts violent scenes that appear to be from the Syrian civil war.
"Obama doesn't have any ethical issues with spying on the world, so we took it upon ourselves to return the favor," the Syrian Electronic Army posted on its own Twitter account.
BarackObama.com and @BarackObama are not affiliated with the official White House Twitter account or WhiteHouse.gov. They are managed by the non-profit group Organizing for Action.
White House spokesman Jay Carney told reporters at his daily briefing he had no response to the hacking report but said he would "take the question."
A Twitter representative told CBSNews.com Organizing for Action's third-party link shortening service was hacked.
Organizing for Action worker Suzanne Snurpus told Quartz several of the group's email addresses were compromised, CBS said.
The network said the Syrian Electronic Army has previously said it was responsible for similar attacks on websites of numerous high-profile news organizations.