In order to shorten the design time of the curved indexing cam driving the packaging mechanism and improve its motion stability, a new design method for curved indexing cam was proposed, and compared and analyzed with other design methods. Design a schematic diagram of the motion cycle of the packaging mechanism and select the optimal motion law curve of the turntable. Establish a mathematical model based on the equation of the ball motion curve on the turntable, and use Matlab software to calculate the three-dimensional coordinate points of the ball motion curve. Import 3D coordinate points into UG software in text format to generate ball motion curves. Using the scanning function in UG software to cut off the cam blank, a three-dimensional model of the curved indexing cam is designed. Assemble and simulate the cam entity in UG software, and compare and analyze it with other design methods. The results showed that under the same conditions, the time for designing the curved indexing cam in this article was reduced by 50%, and the maximum angular acceleration was reduced by 10.69%. The arc-shaped indexing cam designed in this article improves design efficiency and motion stability, providing theoretical support for further optimizing the design of packaging mechanisms.