Abstract: Several widely-used methods for simulating track irregularities at present are analyzed, and a new algorithm for describing the stochastic process of the railway track irregularities is constructed based on the power spectrum density equivalency in a frequency domain. The magnitude and randomphase ofthe frequencyspectrumare obtained respectively, then the simulation sample in a time domain is achieved through inverse Fourier transform (IFFT). Numerical simulation tests show that the new method is more concise and effective than other methods.