This paper presents a review of the various methods for the stationary non-Gaussian random vibration control. Random vibration tests can be divided, according to the number of exci-ters, in single-shaker tests and multiple-shaker tests. In the stationary non-Gaussian random vibra-tion test, the time and frequency domain characteristics of the responses should be controlled independently and simultaneously. Skewness and kurtosis are usually selected as the non-Gaussian time control references (targets) while power spectral density is the frequency domain con-trol procedure before it recalls the concepts of non-Gaussianity. Then, the generation of a one frame stationary non-Gaussian random signal for both the single and multiple shakers are reviewed. The commonly used methods for the single non-Gaussian random signal generation in the random vibration test are memoryless nonlinear transformation, phase modification and Filtered Poisson process. For the multiple-shaker case, the sequential phase modification and memoryless nonlinear transformation are used to generate one frame coupled multi-channel non-Gaussian random signal. In order to obtain a stationary and consecutive dynamic input, the time domain randomization pro-cedure is introduced with high computational efficiency and its influences on the skewness and kur-tosis are analyzed. Finally, two existing problems in the non-Gaussian random vibration control are addressed.