This study proposes a sensitivity analysis for improvement of transient response of time history data. For improvement of vibration characteristics of structures, it is necessary to find the appropriate location for the structural modification. However, it is difficult to apply sensitivity analysis to time history data since the sensitivity analysis has been conducted only in the frequency domain. This study presents a sensitivity analysis for the transient response of time history data. As an example, the proposed method is applied to a construction equipment in order to reduce a peak of vibration response in the time domain.