With the increasing penetration of photovoltaic (PV) in microgrid, the problem of insufficient frequency regulation capabilities is becoming more and more serious, the traditional frequency regulation scheme that only relies on energy storage is featured with high investment and maintenance costs. To improve the frequency stability of microgrid system and reduce the dependence on energy storage, it is urgent to study the joint frequency regulation strategy based on PV and energy storage system. Therefore, this paper proposes a fuzzy adaptive sliding mode control strategy for the PV system and a fuzzy adaptive control strategy for the energy storage system, so that the PV system and the energy storage system can cooperatively participate in the frequency regulation of the microgrid. For the PV fuzzy adaptive sliding mode control of the PV system, the sliding mode surface function is firstly designed according to the PV power-voltage characteristic curve, and then the adaptive sliding mode surface compensation is designed to provide adaptive power reserve for regulating the frequency of a microgrid in both the up and down directions. For the fuzzy adaptive control strategy of the energy storage system, the power control loop and current control loop are firstly designed, and then the adaptive charging and discharging power control strategy is designed to collaboratively participate in the frequency regulation of the microgrid according to the frequency deviation. The designed control strategy has the advantages of no requirements of a maximum power estimator, irradiance sensors, communication devices, and detailed PV models. Simulation results based on IEEE 13 bus microgrid test system demonstrate that, under high PV penetration, by the proposed control strategy under fluctuations in load or irradiance the maximum frequency deviation caused by the load or irradiance fluctuates is reduced by 2.84%~23.24% compared to the result by the traditional droop control, is reduced by 6.14%~11.99% compared to the result by no energy storage control strategy,and is reduced by 21.42%~58.14% compared to the result by the maximum power point control strategy. The research results can provide reference for frequency regulation of new power system with high renewable energy penetration. © 2022 Authors. All rights reserved.