The paper aims to design a technological process of end-cap packaging of carton to realize packaging of fast-locking carton. The ideal trajectory of carton bottom structure was fitted by the action point at the end of the mechanism, and the joint simulation analysis of ADAMS and MATLAB was carried out. The design scheme of the ear-plate folding mechanism and the cover guiding mechanism was determined and optimized. The mechanism size of the fast locking carton packaging mechanism for specific size was completed. Through kinematics simulation analysis of the mechanism, the mathematical model of the end trajectory of the fast locking carton packaging mechanism was established. The model analysis results show that the selected mechanism size and deviation angle can meet the packaging requirements on the corresponding structure size cartons. It lays a foundation for overall design and implementation of the fast locking carton packaging machine.