The invention discloses a calculation method for obtaining an antenna arm vibration abatement response. According to the antenna arm vibration abatement scheme of a piezoelectric material, the stress of the piezoelectric material is equivalent to an internal moment, and the strain of the piezoelectric material is equivalent to a displacement difference to obtain an analytic coupling calculation model of satellite dynamics, vibration abatement and gesture control. Through the resolving of the model, the antenna vibration frequency response and a time response after vibration abatement can be obtained, the layout analysis of the piezoelectric material on the antenna arm is realized, and the active vibration abatement affect analysis of the antenna arm is realized. An obtained calculation model is a coupling system model which contains the satellite dynamics, the vibration abatement and the gesture control on a top layer, and the cross coupling of each analysis link is fully considered to finish response calculation and also realize the analysis of a vibration transfer mechanism. The stress of the piezoelectric material is equivalent to the internal moment, the strain of the piezoelectric material is equivalent to the displacement difference, and therefore, the method has the advantages of being simple, practical, short in modeling period and convenient in engineering application.