A statement on the union website read: “The number of total votes cast was 180 which did not meet the required quorum of 200. Therefore the policy did not pass.”
Jewish students had raised their concerns about the motion with the union.
Student union president Natalie Harper said: “We know that it is quite a controversial issue. We are committed to making sure students have the possibility to debate things whether controversial or not.”
Final year Jewish student Alex Hyams said: "It was a very good result.
"I just don’t think people are very interested or too bothered. I don’t think it affects them."
However, he added: "I am worried they will try again next year."