A YouGov study has found a quarter of those questioned believed Jews were more likely to chase money than others and one in eight people believed they talked about the Holocaust just to get sympathy.
CCJ said the poll was not helpful in the current climate and that it showed there was a "minority of people who think in stereotypical terms".
Elizabeth Harris-Sawczenko, Deputy Director of the organisations told Premier's News Hour: "I don't think it's entirely helpful to the overall mood and also to the reality on the ground.
"I think the Jewish community feels very supported by government, there is a parliamentary committee against anti-Semitism which is very broad reaching, into all areas of British society.
"I think Jews have had very good relations in general in British society for many hundreds of years and we're actually pretty lucky I would say."
She added that the survey wasn't reflective of the true situation and that it may be down to the way the questions were asked.
"Most Jews on most days feel comfortable in Britain and always have done," she added.
"Of course there are incidents of anti-Semitism and there are unpleasant things that happen but in general we feel like we play a very central part in British life."
Elizabeth Harris-Sawczenko speaking to Premier's Des Busteed on the News Hour: