提出了结构动力响应灵敏度分析的一种新方法──Ｌａｐｌａｃｅ变换法，该法对结构的微分方程和结构响应量灵敏度的微分方程分别进行了Ｌａｐｌａｃｅ变换，使其消去时间变量而转化成代数方程组。求解该方程组，可得到拉氏空间中的灵敏度，再利用Ｌａｐｌａｃｅ数值逆变换，可得到在时间空间中的灵敏度。最后通过实例进行了有效计算。 A new method of sensitivity analysis of dynamic response of structure is proposed, called Laplace transform. The method performs Laplace transform on differential equations of structure and sensitivity of structure response respectively, and then it is transformed into algebraic equations by eliminating time variable . Solving this system of equations leads to the sensitivity in Laplace space, and then uses Laplace numerical inverse transform to get the sensitivity in time space. Finally, through the example of a valid calculation.