Confidence votes 77.6K. No, there isn't any gluten in flax. Flax is a member of the Class Magnoliosida, and the gluten producing cereal grasses, including wheat, barlery and rye, are from the Class Liliosida.here is gluten in wheat and some other grains, wich are seeds. There is no gluten in maize, beans and nuts, wich are also seeds.