PURPOSE: A plane grinding device of a glass panel for display is provided to improve workability and efficiency by supplying abrasive through a nozzle equipped with an axis of rapping device. CONSTITUTION: A device comprises a support part. A wear table(10) is installed at the support part and supports and rotates a panel. A rapping tool rotates in a rotating direction and an opposite direction of the wear table(10) and has an abrasive nozzle in a central area. A spindle(40) rotates and supports the rapping tool and has an abrasive passage. A head(31) supports the spindle(40). A grinding head(30) has a spindle driving part which drives and rotates the spindle(40). An abrasive supply part is connected to the spindle(40) and supplies an abrasive through the abrasive passage. A slider(20) supports the grinding head(30). A sliding guide part(5) guides a reciprocating motion of the slider(20). An actuator(21) is inserted between the sliding guide part(5) and the slider(20) and make a reciprocating the slider(20) parallel to the surface of the panel within a designated stroke.