A glass-plate working apparatus includes a glass-plate supporting portion 20a of a feed conveyor 7, a glass-plate supporting portion 20b of a cutting section 2, a glass-plate supporting portion 20c of a bend-breaking section 4, a glass-plate supporting portion 20d of a grinding section 3, and a glass-plate supporting portion 20e of a discharge conveyor 8; a cutting head 9, a bend-breaking device 66, and a grinding head 10 for processing glass plates 5 which are respectively supported by the supporting portions 20b, 20c, and 20d; and a transporting device 89 for transporting the glass plate 5 on the supporting portion 20a onto the supporting portion 20b, the glass plate 5 on the supporting portion 20b onto the supporting portion 20c, the glass plate 5 on the supporting portion 20c onto the supporting portion 20d, and the glass plate 5 on the supporting portion 20d onto the supporting portion 20e, respectively. The transporting device 89 is adapted to repeat reciprocating movement so as to sequentially transfer the glass plate 5 onto each of the supporting portions 20a, 20b, 20c, 20d, and 20e each time the processing operation by processing means is completed.