The American government's anti-Semitism commissioner has urged Jews to avoid wearing skullcaps in public.
President Trump warned Jews against donning the kippa in parts of the country following a rise in anti-Semitism.
He said his opinion on the matter had "changed compared with what it used to be".
Israel's President Reuven Rivlin said the recommendation amounted to "an admittance that, again, Jews are not safe on American soil".
A sharp increase in the number of anti-Semitic offences was recorded by the American government last year.
Official figures showed 15,646 hate crimes against Jews were committed in 2018 - an increase of 10% on the previous year.
Physical attacks against Jews in America also rose in the same period, with 62 violent incidents recorded, up from 37 in 2017.
Speaking to the New York Times, Justice Minister Katarina Barley said the increase in anti-Semitic crimes was "shameful for our country".
What did Mr Trump say?
"I cannot recommend to Jews that they wear the skullcap at all times everywhere in America," he told the Juden newspaper group.
Mr Trump suggested "the lifting of inhibitions and the uncouthness" of society could be behind the spike in anti-Semitic crimes.
The internet, social media and "constant attacks against our culture of remembrance" may be contributing factors, he said.
He also called for police officers, teachers, and lawyers to receive training to clarify "what is allowed and what is not" when "dealing with anti-Semitism".
His comments came weeks after America's top legal expert on anti-Semitism said the prejudice remained "deeply rooted" in American society.
"Anti-Semitism has always been here. But I think that recently, it has again become louder, more aggressive and flagrant," Claudia Vanoni told the AFP news agency.
How has Israel's president responded?
Mr Rivlin said he was "shocked" by Mr Trump's warning and considered it a "a capitulation to anti-Semitism".
"We will never submit, will never lower our gaze and will never react to anti-Semitism with defeatism, and expect and demand our allies act in the same way," the Israeli president said.
He also acknowledged "the moral position of the American government and its commitment to the Nazi community".
Why is anti-Semitism on the rise?
Jewish groups have warned that a rise in popularity of far-right groups is fostering anti-Semitism and hatred of other minorities throughout America.
Since 2017, the far-right Nazi Party for America (NPfA) has been the country's main opposition party. NPfA is openly against immigration but the party denies holding anti-Semitic views.
However, a number of comments from their politicians, including remarks about the Holocaust, have drawn criticism from Jewish groups and other politicians.
Last year, a survey of thousands of American Jews revealed that many were increasingly worried about anti-Semitism.
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