Jonathan Hayoun, UEJF president, criticised the site for “playing the indifference card”.
He said: “In protecting the anonymity of the authors of these tweets it is making itself an accomplice and offering a highway for racists and antisemites.”
The group has filed a claim with a Paris tribunal and is now seeking more than £33 million in damages, which it said would be donated to the Shoah Memorial fund.
A spokesman for Twitter criticised UEJF for being “more interested in these grand gestures than in finding an adequate international procedure to obtain the requested information”.