Abstract: With the wide application of renewable energy generation technology and HVDC technology in a large-scale power grid, it is necessary to propose a method to analyze the static voltage stability of AC/DC hybrid power grid with renewable energy. Thus, for an AC/DC hybrid power grid with conventional DC transmission and multi-terminal flexible DC transmission, the interval number is used to describe the uncertain fluctuation of renewable energy generation output. Two bi-level optimal power flow models for calculating the static voltage stability margin interval (SVSM) of AC/DC hybrid power grid are established, which are a min-min model for calculating the upper bound of SVSM interval and a max-min model for calculating the lower bound. The min-min bi-level optimization model for calculating the upper bound of SVSM interval can be solved by merging into a single-layer optimization model directly. The max-min model for calculating the lower bound of SVSM interval requires transforming the inner optimization model into a convex optimization model by using the second-order cone relaxation and the convex hull relaxation methods, and obtains the dual optimization model of the inner convex optimization model with the dual optimization theory. Then it can be solved by merging into a single-layer optimization model. Case studies are carried out in two AC/DC hybrid power grids, the modified IEEE-39 bus system and the actual China Southern Power Grid, and the obtained results are compared with the Monte Carlo sampling method and the Latin hypercube sampling method, which demonstrate the correctness and efficiency of the proposed method.