tubal branches of ovarian artery tubal branches of ovarian artery the tubal branches of ovarian artery are arteries providing blood to the fallopian tube. tubal branches of ovarian arteryvessels of the uterus and its appendages, rear view.the arteries of the internal organs of generation of the female, seen from behind.detailssourcefallopian tubesuppliesovarian arteryidentifierslatinrami tubarii arteriae ovaricaeta98a12.2.12.088fta24287fma75576anatomical terminology it anastomoses with the tubal branch of uterine artery.