The work aims to explore the interrelation among indentation shape, cutting force and forming quality of folding carton when carton die is cut and pressed, in order to effectively control the cutting force of carton and ultimately improve the forming quality and stability of carton. Three-dimensional laser scanner was used to conduct non-contact scanning on the carton to obtain a high-precision indentation line scanning point cloud. On this basis, a specific algorithm was used to extract the indentation line from the unordered point cloud, and then the measured data were analyzed and calculated to get the depth and width of the indentation line, respectively. A series of data such as indentation depth and width of carton were effectively measured by three-dimensional laser scanning technology. The error between the obtained test data and the theoretical calculation data was very small, and the average error was about 0.01 mm, which proved the effectiveness, reliability and accuracy of the measurement method. In addition, in order to study the interrelation between the indentation shape and the indentation stiffness of the hard carton and establish a more accurate functional interrelationship model, a lot of test work was carried out with this instrument, and statistical analysis and curve fitting were conducted on the test data. The results obtained were highly consistent with the theoretical analysis. The effective measurement of indentation shape and the establishment of the interrelationship model between indentation shape and indentation stiffness provide theoretical basis and data basis for the effective control of carton die cutting quality.