Gate insulators play a role as important as that of the semiconductor in high performance OFETs, with a high on/off current ratio, low hysteresis, and device stability. The essential requirements for gate dielectrics include high capacitance, high dielectric breakdown strength, solution-processibility, and flexibility. In this paper we review progress in recent years in developing high-k gate polymeric insulators for modern organic electronic applications. After a general introduction to OFETs, three types of high-k polymeric gate insulating materials are enumerated in achieving high-quality OFETs, including polymer gate insulators, polymer-inorganic gate composites or bilayers, and ion gel electrolytes. Especially, we emphasize the significance, implementation and development of high-k polymeric gate insulators used in OFETs for future low voltage operated and flexible electronics. Finally, a brief summary and outlook are presented.