The decision came a day after Twitter bowed to German law and blocked an account of a banned neo-Nazi group there.
The freewheeling social network is increasingly running up against European anti-discrimination laws, many of which date to the aftermath of the Holocaust by governments that acknowledged the contribution of years of hate speech to the Nazi attempt to annihilate the Jews.
Friday's action, which was not carried out immediately, would mark a dramatic new stage for the company that has famously refused efforts to police its millions of users.
"Twitter does not mediate content," the company said in a statement. "If we are alerted to content that may be in violation of our terms of service, we will investigate each report and respond according to the policies and procedures outlined in our support pages."
The company's policies require international users to comply with local laws regarding online conduct and acceptable content.
The French Union of Jewish Students, which planned to supply Twitter with a list of the offensive tweets to be pulled, said it would still file a formal complaint against the social network to bring the tweeters to justice. The union held a conference call Thursday night with Twitter executives in California.
'Twitter can't be a place of illegal expression'
The anti-Semitic tweets in French, which started October 10, included slurs and photos evoking the Holocaust, including one of a pile of ash and another of an emaciated Holocaust victim. They were followed by offensive, anti-Muslim tweets.
On Thursday, Twitter blocked the neo-Nazi's account in Germany, although its tweets were still visible to any user whose settings include a different location. The French-language tweets came from hundreds of users, not all of them necessarily in France.
Almost immediately after the French group announced its agreement with Twitter, tweets went up against what some users saw as an attack on freedom of expression – all using the hash tag that started the wave of racist posts on October 10.
Elie Petit, vice president of the group, dismissed the criticism: "I don't think a call for murder is freedom of expression," he said.
French law forbids all discrimination based on ethnicity, nationality, race or religion.
German law is more specific. Because of its Nazi past, the country has strict laws prohibiting the use of related symbols and slogans – like the display of the swastika, or saying "heil Hitler."
After the decision in Germany on Thursday, Twitter's general counsel Alex Macgillivray said in a tweet that the site's administrators "never want to withhold content, good to have tools to do it narrowly and transparently."
In a statement, Jonathan Hayoun, the French group's president, said the group wasn't trying to be the "garbage collectors of the Internet."
But, he added, "Twitter can't be a place of illegal expression."