Aiming at the stability of the tracked tractor rotary tiller on the slope, a 3D model of the tracked tractor body and system of rotary tiller was established by using SolidWorks 3D software, the crawler walking device model of the whole machine were built in the multi-body dynamics software Recurdyn/Track (LM), and the mathematical model of the static stability of the whole machine was set up. The simulation analysis of the stability of the whole machine was performed in three soil pavements provided by the multi-body dynamics software Recurdyn/ground module. The simulation results showed that the maximum climbing angle of the whole machine in clay, sandy loam and dry sand was 31°, 23°and 18°, respectively. The climbing stability in the clay and sandy loam soil was higher than in the dry sandy soil. When the machine travelled along the contour line on the side slope of the clay, the soil adhesion capacity was greater than that of the sandy loam and dry sand, and the speed fluctuation was the smallest. Finally, the test verification of the climbing stability was carried out, which can provide an important reference for the driving stability of the tracked tractor rotary tiller.