Based on screw theory and computer-aided engineering software, the static compliance modeling of a hybrid machine through the serial and parallel assembly of components was performed to construct the mapping relationship between wrench and deformation twist in Cartesian space. For low-speed and heavy-duty hybrid equipment, the static compliance performance is extremely important, and a complete static compliance model is a prerequisite for analysis and design. The semi-analytical model considers gravity, which facilitates the rapid prediction of static compliance and static deformation, providing guidance for static compliance matching in the design process.