Abstract: Robust optimization usually uses a polyhedron model to describe the uncertainty of distributed photovoltaic (PV) output, but ignores the spatial-temporal correlation of distributed PV output. Therefore, this paper established a spatial-temporal correlation polyhedron model of distributed PV, and proposed a robust assessment method of distributed PV hosting capacity of AC/DC hybrid distribution network considering demand response. First of all, the spatial-temporal correlation polyhedron model of the uncertainty of distributed photovoltaic output and the demand response model of electricity price incentive are established. With the goal of maximizing the grid-connected capacity of distributed PV capacity, various operation constraints and regulation strategies in the AC/DC hybrid distribution network are taken into account, a two-stage robust assessment model for the distributed PV hosting capacity of the AC/DC hybrid distribution network is established, and the column and constraint generation algorithm is used for iterative solution. The effectiveness of the algorithm is verified on a 70-bus system, and the simulation results indicate that different management strategies can help improve the distributed photovoltaic carrying capacity of AC/DC hybrid distribution networks.