The heavy-duty truck’s gearbox housing is studied in this paper. The analysis model is built with finite element software. MPC (multipoint constraint) contact algorithm is used to simulate the connections between different gearbox housings. The strength and stiffness of gearbox housing is calculated at its low-speed load case in the first gear. The contour of the stress and displacement is obtained through the calculation results. The results show that the housing meets the design requirements and it provides a reference for optimization and improvement of the gearbox housing.