The invention provides a passive-type strip steel edge grinding device suitable for a finishing machine set. The passive-type strip steel edge grinding device comprises a box body framework, grinding mechanisms, follow-up mechanisms and a feeding mechanism. Three to six sets of the grinding mechanisms and the follow-up mechanisms are arranged inside the box body framework in a linear mode. A box body bottom plate of the box body framework is fixed to a feeding bottom plate of the feeding mechanism. The feeding bottom plate is fixed to a sliding block which is arranged on a feeding guide rail fixed to the bottom of the device. According to the passive-type strip steel edge grinding device suitable for the finishing machine set, the design is delicate, the occupied space is small, the grinding force is adjustable, and the device can be adapted to the specification changes of strip steel and specially grinds strip steel edge tearing zones; on the premise that equipment interference and process interference are not introduced, burrs of the strip steel edge tearing zones can be ground simultaneously, so that the quality of strip steel edges is improved, the technology problems caused by the quality of strip steel edges is solved for downstream customers, and benefits are brought to enterprises.