A frequency domain feedforward compensation method based on a power exponential method for a seismic simulation shaking table is provided. According to the method, a frequency domain amplitude transfer function of a system is identified, the frequency domain amplitude transfer function is modified by adjusting the power and limiting an amplitude, then an inverse frequency domain amplitude transfer function is obtained, an amplitude and a phase of a driving acceleration signal are computed, finally a time domain driving acceleration signal is obtained by using the Euler's formula for computation in a complex domain and conducting inverse Fourier transform, the shaking table is driven again to collect an acceleration signal output by a table top, whether the acceleration signal meets a shaking table test waveform use requirement is determined, a test is finished under the condition that the acceleration signal meets the shaking table test waveform use requirement.