本文主要研究一类带有时空时滞的混合扩散竞争系统行波解的存在性。首先，为了消除时空时滞的影响，根据时空时滞中核函数的特性，把带有时空时滞的由两个方程耦合而成的扩散系统转化为无时滞的由四个方程耦合而成的扩散系统。其次，通过变换将系统转化为单调系统。最后，利用上下解方法和不动点定理证明行波解的存在性。

In this paper, the existence of traveling wave solutions of mixed diffusive competition systems with spatio-temporal delays was studied. Firstly, in order to eliminate the influence of spatio-temporal delays, the delayed diffusion system with two equations was changed into the non-delay diffusion system with four equations based on the property of the kernels in spatio-temporal delays. Then the system was further changed into the monotone system. Finally, the main results were obtained by using the super- and sub-solutions method and the fixed point theorem.