On the basis of study overview of SU Jilan YUAN Yaochu and GUAN Bingxian the recent study advances on the Kuroshio in the East China Sea ( ESC) and cunents in the region east of Ryukyu Islands are reviewed especially since 2000 years The most interested Problems awaiting solution in the ESC are as follows the structure variability of he Kuroshiomain Part the Kuroshio in trusion norheast of Taiwan and southwest of Kyushu meso scale eddies on both sides of Kuroshio and so on Study of east of Ryukyu Islands is concentrated on the Ryukyu Current anticyclonic wam eddies and cyclonic cold eddies east of the Ryukyu Cunent From the above analysis finaly the auhor put forward some Probjems to be further studied.