Abstract: The acceleration factor without consideration of the frequencies in the vibration engineering will require large displacements and forces for the shaker. A new accelerated random testing method is proposed based on the frequency band weighting and the required displacement for the shaker is less than that of the standard method due to the weighting factor design in the low frequency bands. A design procedure and an engineering scheme are developed according to two spectral models of the fatigue damage estimation, namely, the Dirlik model and the TB model. The numerical examples show that the proposed program can be used for the accelerated vibration testing design without large shaker displacement.