In order to study the influence of the coherent bridge deck excitation on the vibration response of a cable-stayed bridge，the power spectrum matrix of the coherent bridge deck excitations is derived and established according to the coherence function relationship of the left and right wheels and the time lag relationship between the front and rear wheels. Based on the vehicle-bridge coupled vibration theory and the pseudo excitation method，the influence of the coherent bridge deck excitation of each wheel of an extra-heavy truck on the vibration response of a long-span cable-stayed bridge is analyzed. The results show that the vibration response dispersion of the cable-stayed bridge is increased by the coherent deck excitation of each wheel of the extra-heavy truck. The vibration response of the bridge increases with the increase of the coherence strength. Besides，different coherent function models have little effect on the vibration response of cable-stayed bridge under coherent deck excitation. The discrete degree of the vibration response of the cable-stayed bridge excited by the coherent non-stationary bridge deck is greater than that excited by the coherent stationary bridge deck. The maximum standard deviation of the bridge vibration response increases with the increase of vehicle acceleration. Moreover，the vehicle induced vibration response of the cable-stayed bridge is very sensitive to multi-wheel and multipoint coherent deck excitation，in which the dispersion degree of vibration response increases with the increase of the number of the extra-heavy truck axles.