Abstract: Although LQG regulators have been used frequently, the relevant control technique still requires further development, particularly with non-stationary random disturbances. In this paper, a new attempt is reported in which the LQG control is applied to adjacent tall buildings subjected to non-stationary seismic random excitations. The ground motion is induced by the random excitations from the bedrock through a single-layer soil that is regarded as filter. In combination with the pseudo excitation method (PEM), two precise integration schemes are applied to the analysis of structural non-stationary seismic random responses and the solution of the differential Riccati equations in the transient LQG control process, respectively. Satisfactory control effects are achieved in the numerical simulation with two adjacent 20-storey buildings.