The invention discloses three-dimensional cellular graphene-like non-metal catalyst and a preparation method and application thereof. The preparation method comprises the steps of fully mixing bean dregs, sodium nitrate, first chlorine salt and second chlorine salt; then performing carbonization treatment under inert gas protection; finally washing to a neutral state through H2O and drying; then soaking in acid for 12 to 24h, washing to a neutral state and drying again to obtain the three-dimensional cellular graphene-like non-metal catalyst. The three-dimensional cellular graphene-like non-metal catalyst prepared by the method has high activity, large specific surface area and large total hole volume, shows good oxygen reduction performance and higher resistance to methanol poisoning in alkaline solution, and accordingly can be used as cathode oxygen reduction catalyst of a fuel cell.