Abstract: In an islanded microgrid composed of multiple distributed generation units (DGs), the information interaction of each DG unit is completed through the communication network, and the stochastic time-varying delay caused by the transmission of the communication network will affect the stability of the control system. For the system with stochastic time-varying delay, this paper proposed a distributed secondary control method with stochastic time-varying delay, which aimed to achieve the stability of output voltage and frequency. A small-signal model analysis method was used to linearize the proposed system. Then, a new Lyapunov-Krasovskii functional and integral inequality were introduced to derive the stability criterion, and the controller parameter design to keep the system stable was given according to the proposed stability criterion. Finally, a simulation model was established in MATLAB/Simulink, and the validity of the proposed control method and the correctness of the stability criterion were verified.