To improve the teaching effectiveness of engineering blasting courses, it was proposed to use the Smoothed Particle Hydrodynamics-Finite Element Method (SPH-FEM) coupling algorithm numerical simulation in engineering blasting course teaching. Firstly, the basic principle of SPH-FEM coupling algorithm was elaborated; Then, the modeling process, coupling inspection, and simulation results were demonstrated using the example of a concentrated charge blasting; Finally, the simulation results were integrated into practical teaching to explore the application effect of SPH-FEM coupling algorithm numerical simulation in engineering blasting teaching. The research results show that the SPH-FEM coupling algorithm could fully combine the advantages of SPH particles and FEM grids. The SPH-FEM coupling algorithm numerical simulation could visually present the blasting process of the concentrated charge. The use of SPH-FEM coupling algorithm numerical simulation in practical engineering blasting teaching could help students understand and grasp professional knowledge, and improve their learning enthusiasm.