惟一连续性是可积系统的重要性质之一，而初值问题解的性质与初值的光滑性密切相关．本文主要讨论了一类五阶KdV方程初值问题解的惟一连续性，证明了该初值问题的足够光滑的解，如果在一个非退化的时间区间内具有紧支集，那么该解恒为零．

The unique continuation property is one of the important properties of the solutions to the integrable systems. The properties of the solutions of the initial value problems are bound up with the smoothness of the initial values. In this paper, we mainly discuss the unique continuation property of the solutions to the initial value problem associated with a class of fifth-order KdV equations. We prove that, if a sufficiently smooth solution to the initial value problem associated with the fifth-order Korteweg-de-Vries equations is supported compactly in a nontrivial time interval, then it vanishes identically.