"Do u know what Obama Coffee is? Black and weak," Judy Shalom Nir-Mozes wrote to her 74,400 followers.
Online shock, condemnation and accusations of racism later led her to delete the incriminating tweet.
"I apologize, that was a stupid joke somebody told me," she wrote on her @JudyMozes Twitter account in English.
"President Obama I shouldnt have written the inappropriate joke I heard. I like people no matter about their race and religion," she also wrote, addressing the US leader directly.
Her husband, a member of Prime Minister Benjamin Netanyahu's Likud party, is also the minister charged with strategic ties with the United States.
The outspoken Nir-Mozes is a scion of the Mozes family that owns the top-selling Yediot Aharonot daily. She hosts a weekly radio programme as well as participating in a number of television shows.
She publishes blunt tweets and Facebook posts about a wide range of social and political issues, including criticising members of Israel's political left for what she perceives as their lack of patriotism.
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