The work aims to investigate the effect of the kurtosis of the non-Gaussian excitation signal on the vibration response of the product. Three standard excitation spectra and three vibration levels were selected for acceleration signal acquisition, and the Hermite polynomial method was used to convert the collected signals into vibration acceleration signals with the same PSD and different kurtosis. The finite element method was used to analyze the non-Gaussian vibration of the product, and the effect of different kurtosis on the vibration response of the product was explored. When the vibration excitation was Gaussian, the vibration response of the product was approximately Gaussian distribution. Under the excitation of non-Gaussian vibration, the response kurtosis of the product and the excitation kurtosis of the product increased linearly. With the ISTA 3A spectrum of 0.563g vibration level excitation as an example, compared with the Gaussian excitation, the response kurtosis values of the product under 5, 9, 13, 17 and 21 kurtosis excitation increased by 31.33%, 93.44%, 153.73%, 212.65% and 270.51%, respectively. Under the same spectral pattern and kurtosis excitation, the kurtosis of the product response increased with the increase of the excitation vibration level. When the vibration excitation kurtosis reached 21, the response kurtosis of the highest vibration level under ISTA 3A, white noise and GB/T spectral excitation reached 159.03%, 151.36% and 150.13% of the response kurtosis of the lowest vibration level, respectively. During transportation, when the vibration excitation signal is non-Gaussian, the vibration response kurtosis of the product increases linearly with the increase of the excitation kurtosis, and there is an obvious positive correlation between the vibration response kurtosis of the product and the vibration level of the excitation signal.