The increasing proportion of electric vehicles (EV) and photovoltaics (PV) in the distribution network in the future not only brings complex uncertainty problems, but also leads to uneven distribution of net load in the distribution network in time and space. This will result in light abandonment, load loss, and uneven tide distribution. Thus this paper proposes a flexible operation method for an EV-PV distribution network with high ratio based on flexible multi-state switching and dynamic reconfiguration. It considers the uncertainty of electric vehicle charging load as well as PV. First, based on flexible multi-state switch (FMS) flexible power regulation and network dynamic reconfiguration, a framework for flexible operation with a high proportion of EV-PV access is constructed. Second, the Monte Carlo stochastic simulation method is used to model the uncertainty of various EV charging loads and PV output. A scenario set and reduction method are established based on scenario set as well as the stochastic planning model. Then, a distribution grid flexible operation model with the objectives of light abandonment, load loss, FMS loss, network loss cost minimization, and load balance optimization is established. Finally, the effectiveness of the proposed method is verified on the 158-node system.