The Jewish Leadership Council's education division has objected to conditions the government plans to attach to the opening of new free faith schools.
Partnerships for Jewish Schools (Pajes) is "disturbed" by proposals which it says single out faith schools.
Pajes has welcomed plans to lift the cap which currently restricts religious free schools to selecting only half their applicants on the basis of faith.
But the government has suggested new faith free schools would have to demonstrrate proof of support from parents of other faiths and to twin with other schools.