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A nonlinear seismic analysis method for complex frame structures subjected to sta-tionary random ground excitations is proposed.The nonlinear elasto-plastic behaviors may takeplace only on a small part of the structure.The Bouc-Wen differential equation model is used tomodel the hysteretic characteristics of the nonlinear components.The Pseudo Excitation Method(PEM)is used in solving the linearized random differential equations to replace the solution ofthe less efficient Lyapunov equation.Numerical results of a real bridge show that the methodproposed is effective for practical engineering analysis.“,”A nonlinear seismic analysis method for complex frame structures subjected to sta- tionary random ground excitations is proposed.The nonlinear elasto-plastic behaviors may take place only on a small part of the structure.The Bouc-Wen differential equation model is used to model the hysteretic characteristics of the nonlinear components.The Pseudo Excitation Method (PEM)is used in solving the linearized random differential equations to replace the solution of the less efficient Lyapunov equation.Numerical results of a real bridge show that the method proposed is effective for practical engineering analysis.