The mesh structure based on double-twisted hexagonal grids is an important part of reinforced gabion structures. Due to challenges in sensor placement during physical experimentation on complex gabion mesh mechanical properties, numerical simulation serves as a valuable means of study, with accurate numerical grids being integral to obtaining reasonable results. Focus on addressing the limited availability of three-dimensional numerical models for gabion meshes, thereby offering potential for further research on the mechanical properties of gabion structures under complex working conditions, the construction method of three-dimensional finite element model for gabion meshes was studied. Based on SolidWorks software platform, a novel approach was proposed for constructing a numerical model that incorporates unique geometric features, in which, the mesh wires were categorized into three groups based on their geometric structure and a relational equation was presented governing the motion of a single wire axis during manufacturing. Secondly, a three-dimensional finite element model of a double-twisted hexagonal mesh was constructed using ABAQUS software to simulate a quasi-static uniaxial tensile experiment. Finally, the proposed approach was validated by comparing the numerical results and the experimental results, supporting its rationality.