In order to solve the problem of short lifetime of LED driving power, a scheme for electrolytic capacitor-less light emitting diode (LED) driving power based on power factor correction (PFC) combined with a Buck-Boost circuits is proposed. The conventional Boost circuit and the CRM control method are adopted in PFC circuit. Besides, the electrolytic capacitor is replaced by a Buck-Boost bi-directional converter in parallel with LED load to balance instantaneous power between AC input and DC output. The Buck-Boost converter achieves the function of power coupling. The fixed duty cycle control strategy is applied in Buck-Boost bi-directional converter, as well as the CRM control method is adopted in PFC circuit. Finally, simulation models and experimental platform are established by Saber. The experimental results are presented that the power factor of the circuit is more than 0.9 and the output-current and output-voltage have a good stability. This work is supported by National Natural Science Foundation of China (No. 51467006).