With the variety of products being enriched, the labeling methods for various products are also different. The work aims to propose a 2-RCU/CUR mechanism with large rotation that can be used to label different products, so as to make the marking machines suitable for various products. The degree of freedom of 2-RCU/CUR mechanism was analyzed by screw theory and verified by the improved G-K formula. The closed-loop vector method was used to carry out inverse kinematics on the position of the mechanism, and the mechanism model was drawn in SolidWorks software. Finally, the workspace of the mechanism was programmed and solved by Matlab software and the workspace was drawn by this software. The 2-RCU/CUR parallel mechanism had three degrees of freedom, two for rotation and one for movement. In the workspace of the mechanism, the rotation of the moving platform reached 90° around the y axis, and there was no singularity mode in the workspace. The 2-RCU/CUR parallel mechanism has a simple and stable structure, with high working accuracy and large workspace and can be applied to a variety of product labeling processes to improve the economic benefits.