an apparatus for providing a cutting line on a glass sheet , in which the cutting line for bend - cutting the glass sheet is provided on the glass sheet conveyed on a carrying roller , is provided with : a cutter configured to provide the cutting line on the glass sheet ; a ball slide device configured to freely move the cutter up and down in accordance with an up - down movement of the conveyed glass sheet , and to absorb an excessive pressing force of the cutter onto a glass sheet surface so as to keep the pressing force constant ; a spring configured to apply an appropriate cutter pressure to the glass sheet surface ; an arm configured to support the ball slide device , the spring , and the cutter ; and a pressing device configured to press the arm toward the glass sheet surface .