By shifting the mean stress and the sine wave stress amplitude, uni-axial cyclic experiments were performed to study the dynamic response of fluid-saturated sandstones attenuation, Yang’s modulus and Poisson’s ratio. The experimental results show that the modulus increases as the mean stress increases, the stress-strain hysteresis loop moves to the increased strain as the stress amplitude increases, hysteresis loop is included in the peak stress hysteresis loop as the stress amplitude decreases, and saturated rocks have memory characteristics.