Biomimetic　structures　are　inspired　by　elegant　and　complex　architectures　of　natural　creatures,　drawing　inspiration　from　biological　structures　to　achieve　specific　functions　or　improve　specific　strength　and　modulus　to　reduce　weight.　In　particular,　the　rapid　closure　of　a　Venus　flytrap　leaf　is　one　of　the　fastest　motions　in　plants,　its　biomechanics　does　not　rely　on　muscle　tissues　to　produce　rapid　shape-changing,　which　is　significant　for　engineering　applications.　Composites　are　ubiquitous　in　nature　and　are　used　for　biomimetic　design　due　to　their　superior　overall　performance　and　programmability.　Here,　we　focus　on　reviewing　the　most　recent　progress　on　biomimetic　Venus　flytrap　structures　based　on　smart　composite　technology.　An　overview　of　the　biomechanics　of　Venus　flytrap　is　first　introduced,　in　order　to　reveal　the　underlying　mechanisms.　The　smart　composite　technology　was　then　discussed　by　covering　mainly　the　principles　and　driving　mechanics　of　various　types　of　bistable　composite　structures,　followed　by　research　progress　on　the　smart　composite-based　biomimetic　flytrap　structures,　with　a　focus　on　the　bionic　strategies　in　terms　of　sensing,　responding　and　actuation,　as　well　as　the　rapid　snap-trapping,　aiming　to　enrich　the　diversities　and　reveal　the　fundamentals　in　order　to　further　advance　the　multidisciplinary　science　and　technological　development　into　composite　bionics.