The work aims to propose a dual-mode reconfigurable parallel mechanism to realize automation of the dispensing of the wine box glue line and the scrap-clearing of the wine box base in the wine box production line. The degrees of freedom of the mechanism in two modes were analyzed based on screw theory. The closed-loop vector method and D-H method were used to obtain the inverse solution of the position in the corresponding mode. The numerical method was used to solve the workspace, dexterity and rotation ability indexes of the mechanism. The application example of the mechanism was given. The mechanism had 3T degrees of freedom in 2-URU/RRC mode and 3T1R degrees of freedom in 2-URU/URC mode. The workspace was continuous and there was no hole. The distribution of dexterity index in 2-URU/RRC mode and the rotation ability of moving platform in 2-URU/URC mode were obtained. The mechanism can meet the needs of dispensing operation under 2-URU/RRC mode, and can meet the needs of base scrap-clearing operation under 2-URU/URC mode, which improves the automation degree of wine box production line.