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One major division in the mathematical modeling of power transmission towers is to include the effect of imperfections in the dynamical response of the system. The neural-network simulators as a nonparametric system identification approach present a robust and efficient way to simulate the nonlinear behavior of engineering systems. In the paper herein, an artificial-neural-network (ANN) simulator, a general back error propagating perceptron, is used to simulate random imperfection for spectral dynamic analysis of power transmission towers. There have been considerable efforts to apply the method of spectral analysis to the vibration of a structure using spectral frame elements. In the first part of the paper, the analytical development of the spectral method has been presented, while the second part deals with the ANN simulator and its base field data. The final part presents numerical examples which highlight the efficiency of the proposed method.