The invention discloses a bag and suitcase covering piece installing machine and a bag and suitcase processing method applying the bag and suitcase covering piece installing machine, relates to the field of bag and suitcase producing and processing, and aims at solving the problems that previous machining equipment cannot effectively meet the new type bag and suitcase processing requirements, andthe processing efficiency is influenced. According to the technical scheme, the bag and suitcase covering piece installing machine is characterized in that a rack, a punching device, a sleeve feedingdevice and a screw driving device are included, wherein the punching device is connected to the rack and used for punching installing holes, coinciding with a T-shaped sleeve rod part, in a box coverand a formed plate, the sleeve feeding device is connected to the rack and used for inserting a T-shaped sleeve into the installing holes, and the screw driving device is connected to the rack and used for threaded connection of a screw to the T-shaped sleeve. According to the bag and suitcase covering piece installing machine and the bag and suitcase processing method applying the bag and suitcase covering piece installing machine, a main covering piece can be fixed to the box cover in a semi-automatic manner, and accordingly the bag and suitcase processing efficiency is guaranteed.