"I think it was a bad statement and I don't think her apology was adequate", the president said, according to a pool report.
Ms. Omar, who was elected to the House of Representatives last November, on Sunday in a tweet questioned the financial relationship between the powerful American Israel Public Affairs Committee (AIPAC) and members of the Congress. But Congresswoman Omar's use of anti-Semitic tropes and prejudicial accusations about Israel's supporters is deeply offensive.
"My intention is never to offend my constituents or Jewish Americans as a whole", she said, adding that she "unequivocally" apologised.
Omar is one of a handful of high-profile freshmen Democratic women, along with Alexandria Ocasio-Cortez of NY and Rashida Tlaib of MI, who often use social media to speak to their followers and lash out at criticism.
"I appreciated your call to do better as a friend and ally and appreciate your courage in calling out the double standard in Congress", Omar tweeted.
Omar, in messages on Twitter Sunday night, implied that US policy on Israel was influenced by money and by AIPAC.
Omar issued an apology on Monday, saying anti-Semitism was "real" and that she was "grateful for Jewish allies and colleagues who are educating me on the painful history of anti-Semitic tropes".
"Good that some Dems have condemned the disgraceful anti-Semitic remarks of Rep. Omar-but their words are empty unless Dem leaders remove her from the Foreign Affairs Committee", Steve Scalise of Louisiana, the second-ranking House Republican, said on Twitter.
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Omar has also had to contend with allegations from conservative bloggers that she married her brother to carry out immigration fraud, claims that were picked up in an ad campaign against her last fall by Minnesota Republicans. "We condemn these remarks and we call upon Congresswoman Omar to immediately apologise for these hurtful comments", Democratic leaders said. We can stand up for Ilhan knowing her record and what she stands for and also combat antisemitism.
"Our bipartisan efforts are reflective of American values and interests", AIPAC's tweet said, adding: "We will not be deterred in any way by ill-informed and illegitimate attacks on this important work".
"I believe that we can now say that Israel has reached childhood's end, that it has matured enough to begin approaching a state of self-reliance", Israeli prime minister Benjamin Netanyahu said during an address to the U.S. Congress two decades ago "We are going to achieve economic independence".
Omar's spokesman responded to a request for comment with a link to the congresswoman's tweeted apology. They spent four years in a Mombasa, Kenya, camp with tens of thousands of other refugees.
Rep. Ilhan Omar (D-MN) is getting support from anti-Semites across the political spectrum Monday, after tweeting about AIPAC's "influence" on the federal government: she's been lauded by David Duke from the far right, and is now receiving plaudits from from Linda Sarsour, the leader of the Women's March.
McCarthy urged Democratic leaders to admonish Omar and Tlaib for their backing of the BDS movement, which is meant to put economic pressure on Israel to end its occupation of the West Bank. Sen.
Omar has expressed regret for tweeting in 2012: "Israel has hypnotized the world, may Allah awaken the people and help them see the evil doings of Israel".