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Blasting action plays a very important role in slope stability and the effect of rock fragmentation in stonework cutting excavation. Based on engineering practices, this paper applies dynamic finite element method and conducts a numerical simulation of the cutting excavation process. It have conducted researches on the stress field inside rocks in millisecond delay blasting, Von-Mises and other domino effects, as well as the propagation rules for particle vibration velocity. Results show that based on the numerical simulation of the engineering practice, this paper largely represents the real physical mechanical process of the rock fragmentation and can hence serve as a guide for both design and conduction of cutting blasting.