Abstract: The study on flow bifurcations is of great significance in clarifying the physical characteristics of the flow field, and has important guiding significance for the analysis of flow problems encountered in engineering purposes and corresponding applications. As a classic problem in fluid mechanics, cavity flows have been widely applied in many important fields and has extremely high research values. For the flow inside the cavity, the geometric configuration of the cavity has a significant impact on the types and critical Reynolds numbers of flow bifurcations. Based on the literature review worldwide, the influence of certain geometric configurations on flow bifurcation is not yet clear. As a result, we conduct numerical simulations and flow mechanism analysis on the flow inside a cavity with a quasi-honeycomb structure through the LBM algorithm based on Cartesian grid and flow field stability analysis, revealing the influence of the quasi-honeycomb structure on the flow bifurcations of this internal flow. Compared with previous research, this study is focused on exploring the influence of quasi-honeycomb configuration on the Hopf, Neimark-Sacker, and Turbulence trigging flow bifurcations, as well as the flow evolution patterns and vortex development characteristics within this configuration. The mechanism of flow phenomena is analyzed from a physical perspective. The numerical results indicate that although the quasi-honeycomb configuration does not affect the type of flow bifurcations and the evolution patterns of the flow, it has a significant influence on the critical values of flow bifurcations. It can effectively delay the occurrence of flow instability and turbulence, greatly improving the stability of this internal flow. In addition, the vortex structure and evolution behavior within the flow field are exceptionally stable.