A machine for bend-breaking a glass plate comprising: a flexible member on which the glass plate with a cut line formed thereon is placed; a supporting mechanism having a supporting surface for supporting through said flexible member the glass plate at a central portion of a lower surface of the glass plate in a region surrounded by the cut line on the glass plate in a plan view; a glass plate receiving device (7, 7a) disposed below said flexible member and having an annular glass plate receiving surface (6, 6a) for receiving the glass plate from a lower side of the glass plate through said flexible member and a recess (36, 36a) surrounded by the annular glass plate receiving surface (6, 6a); a first moving device (8, 8a) for moving the glass plate receiving surface of said glass plate receiving device (7, 7a); a press-breaking device (9, 9a) disposed above said flexible member and having a pressing surface for press-breaking along a cut line the glass plate with the cut line formed thereon; and a second moving device (10, 10a) for moving the pressing surface of said press-breaking device (9, 9a), wherein said first moving device (8, 8a) is adapted to dispose the glass plate receiving surface (6, 6a) such that, at the time of press-breaking of the glass plate by the pressing surface, the pressing surface of said press-breaking device (9, 9a) can press that part of the glass plate that opposes the recess (36, 36a) surrounded by the glass plate receiving surface (6, 6a), said second moving device (10, 10a) is adapted to dispose the pressing surface such that, at the time of press-breaking of the glass plate by the pressing surface, the pressing surface can press that part of the glass plate that opposes the recess (36, 36a) surrounded by the glass plate receiving surface (6, 6a) which has been moved by said first moving device (8, 8a), and said press-breaking device (9, 9a) is adapted to press-break the glass plate along the cut line by causing the pressing surface to press against that part of the glass plate that opposes the recess (36, 36a) surrounded by the glass plate receiving surface (6, 6a). a flexible member on which the glass plate with a cut line formed thereon is placed; a supporting mechanism having a supporting surface for supporting through said flexible member the glass plate at a central portion of a lower surface of the glass plate in a region surrounded by the cut line on the glass plate in a plan view; a glass plate receiving device (7, 7a) disposed below said flexible member and having an annular glass plate receiving surface (6, 6a) for receiving the glass plate from a lower side of the glass plate through said flexible member and a recess (36, 36a) surrounded by the annular glass plate receiving surface (6, 6a); a first moving device (8, 8a) for moving the glass plate receiving surface of said glass plate receiving device (7, 7a); a press-breaking device (9, 9a) disposed above said flexible member and having a pressing surface for press-breaking along a cut line the glass plate with the cut line formed thereon; and a second moving device (10, 10a) for moving the pressing surface of said press-breaking device (9, 9a), wherein said first moving device (8, 8a) is adapted to dispose the glass plate receiving surface (6, 6a) such that, at the time of press-breaking of the glass plate by the pressing surface, the pressing surface of said press-breaking device (9, 9a) can press that part of the glass plate that opposes the recess (36, 36a) surrounded by the glass plate receiving surface (6, 6a), said second moving device (10, 10a) is adapted to dispose the pressing surface such that, at the time of press-breaking of the glass plate by the pressing surface, the pressing surface can press that part of the glass plate that opposes the recess (36, 36a) surrounded by the glass plate receiving surface (6, 6a) which has been moved by said first moving device (8, 8a), and said press-breaking device (9, 9a) is adapted to press-break the glass plate along the cut line by causing the pressing surface to press against that part of the glass plate that opposes the recess (36, 36a) surrounded by the glass plate receiving surface (6, 6a).