由于其在现实生活中的广泛应用，复杂网络的同步问题已经成为了一个热门的话题。本文通过加自适应非周期间歇控制器，研究了一类线性时变时滞耦合复杂网络的有限时同步问题。基于李雅普诺夫稳定性理论以及自适应间歇控制技巧，我们详细证明了在所给的充分条件下，所得有限时同步结论的正确性。此外，我们给出停时的表达式。最后，通过一个时值实例，我们证明了理论结果的合理性。本文的结论对于具体的复杂网络统一适用。 Due to its wide application in real life, the synchronization of complex networks has become a hot topic. In this article, we investigate the finite-time synchronization for linearly coupled complex networks with time-varying delay by adaptive aperiodically intermittent controllers. Based on the Lyapunov stability theory and the adaptive intermittent control technique, we prove in detail the correctness of the conclusion on finite-time synchronization under the given sufficient conditions. In addition, the expression of settling time is estimated. Last but not least, a numerical example is presented to illustrate the validity of theoretical results. The conclusions of this paper are applicable to the concrete complex networks.