Fake messages appearing on the @60Minutes account criticized US support for "terrorist" rebels in Syria and others accused Barack Obama of trying to "take away your guns".
Tweets sent out on a CBS News account on Saturday.
A CBS News producer confirmed that tweets sent on Saturday by the "60 Minutes" and "48 Hours" handles came from Twitter accounts which had been compromised.
Fake messages appearing on the @60Minutes account criticized US support for "terrorist" rebels in Syria and others accused President Obama of trying to "take away your guns".
Matthew Polevoy, a social media producer for CBS News, tweeted, "Obviously, those messages posted did NOT come from 60 Minutes staff. This is serious matter and we're treating it as such."
On Sunday morning, both Twitter accounts remained suspended and inaccessible.
Twitter has not yet commented on the incident.
A group calling itself the Syrian Electronic Army claimed to have been responsible for hijacking the accounts, according to the BBC.
Tweets sent out on the @48Hours account reportedly included: "General Dempsey calls for #Obama's arrest under new anti-terror laws #48hours".
Gen Martin Dempsey is chairman of the US Joint Chiefs of Staff.
The fake messages that appeared on the @60Minutes account reportedly included:
• "The US government is hiding the real culprit of the Boston bombing"• "The US government is sponsoring a coup in Venezuela and a terrorist war in Syria"
• "Your duty is to protect your nation from the parasites that have taken your government"
On Monday, the Syrian Electronic Army took credit for hacking a National Public Radio website and Twitter account. Several stories on the NPR website were defaced with headlines and text that said 'Syrian Electronic Army Was Here.'