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High power electromagnetic pulse (EMP) can easily couple into the inner of targets via lots of slots. To calculate the EMP coupling effects on a cylinder object with openings, the coupling course is simulated using FDTD method in this paper. Gauss pulse and double exponential pulse are selected as the incident pulse source. The coupling EM field strength E inside the object and the current density J on the surface are calculated. Several rules about EMP coupling effects are gotten both in time and frequency domain. The results can help us to understand the damage effects of high power EMP.