In this paper, the application of modulated ARMA model in simulation of artificial earthquake waves is discussed on the several aspects such as determination of the ARMA model orders, determination of the ARMA model parameters and influence of the initial random series. It is shown from the calculation that the influence of the intensity envelop function on the frequency characteristic of the modulated ARMA model is acceptable and the modulated ARMA model is still an efficient alternative method to generate artificial earthquake wave in practice.