Abstract: Seismic action is generally decomposed into horizontal motion components and vertical motion components. Under the action of these two motion components, external excitation and parametric excitation processes may be experienced when the structure undergoes large deformation. Although these two incentive processes are completely related, it is often assumed that the two incentive processes are completely independent in the past research in order to simplify the analysis. A single-layer frame structure is studied. The correlation between external excitation and parameter excitation is considered, and a more accurate structural random seismic response is obtained. The influence of this correlation on the structural response is analyzed. Starting from the vibration equation of the structure, the cumulative moment truncation method is used to solve the non-stationary seismic response of a single-layer frame structure under the excitation of Gaussian white noise and filtered white noise. The results show that when the simulated ground motion is closer to the actual Gaussian white noise process, the influence of seismic correlation on the structural response is more obvious.