To study and enhance the obstacle‐crossing performance of the electric shovel, an obstacle‐crossing model that employs a coupling methodology integrating the discrete element method (DEM) and multi‐body dynamics (MBD) is constructed. Secondly, the influence of grouser height (GH), track velocity (TV), slope inclination (SI) and slope height (SH) on obstacle‐crossing performance is investigated through DEM‐MBD simulation, with the objective of obtaining an obstacle‐crossing surrogate model through the Kriging method and Box‐Behnken experimental design. On this basis, two optimisation solutions for the obstacle‐crossing performance of the electric shovel are proposed based on a genetic algorithm (GA), and the corresponding obstacle‐crossing performances are analysed. The results demonstrate that the coupling effect between SI and SH exerts a considerable influence on the ground pressure coefficient (GPC), power and disturbance potential energy (DPE). When the optimal TV and GH are set at 0.1 m/s and 9.38 mm, the GPC, power and disturbance kinetic energy (DKE) are observed to diminish to varying degrees, thereby indicating that the obstacle‐crossing performance of the electric shovel has been enhanced.