Abstract: AItMA model of nonlinear structural vibration and control systems were studied in this paper. The equivalent linear structure was made. The first few displacements or velocities of the structure can be measured. ARMA model was developed after making the dimension of stochastic excitation and observation noise equal. Based on multi-dimension ARMA, the A1tMA model of the structures under the action of wind and earthquake and the structural model analysis were presented.