Summary: In this paper, we prove the existence and the global exponential stability of the unique weighted pseudo almost-periodic solution of shunting inhibitory cellular neural networks with mixed time-varying delays comprising different discrete and distributed time delays. Some sufficient conditions are given for the existence and the global exponential stability of the weighted pseudo almost-periodic solution by employing a fixed point theorem and differential inequality techniques. The results of this paper complement previously known ones. Finally, an illustrative example is given to demonstrate the effectiveness of our results.