Yes, but not all. The ‘ginger gene’ which produces the orange colour is on the X chromosome. Females have two X chromosomes and so need two copies of this gene to become ginger, whereas males need only one. This means there are roughly three males to one female ginger cat. Ginger tom cats father tortoiseshell or ginger females. If both parents are ginger, then they will have all ginger kittens as well.