 Biomimetic structures inspired by natural creatures' complex architectures are designed using smart composite technology to achieve specific functions, improve strength and modulus, and reduce weight. The rapid closure of a Venus flytrap leaf is one such example, which does not rely on muscle tissues for shape changing, making it significant for engineering applications. Composites are used in biomimetic design due to their superior performance and programmability. This review focuses on recent progress in smart composite-based biomimetic Venus flytrap structures, including the principles and driving mechanics of various biostable composite structures, research on sensing, responding, and actuation strategies, and rapid snap trapping, with the aim of enriching diversities and revealing fundamentals to advance multidisciplinary science and technology in composite bionics. This article was authored by Bing Wang, Yi Ho, Shun Song-Jong, and others. We are article.tv, links in the description below.