1) It is demonstrated on a new “glycerine spot method” (1952, Kotsuka) that efferent vasodilator fibers and efferent vasoconstrictor fibers exist in the oculomotor nerve in bullfrog's and frog's external eye muscles.2) It is interpreted that the blood vessels of bullfrog's and frog's external eye muscles are subjected to “double oculomotor innervation”.3) It is revealed on a temporarily designated “carmin nicotine microinjection method” that oculomotor vasodilator fibers and oculomotor vasoconstictor fibers have their own origin in the mesencephalon.