This　paper　proposes　a　novel　method　of　random　fiber　distribution　inspired　by　the　finite　element　mesh　technique.　It　solves　the　problem　of　fiber　interference　when　generating　the　Representative　Volume　Element　(RVE)　with　a　high　volume　fraction　and　prevents　fiber　cluster　formation　at　low　volume　fractions.　Theoretically,　the　method　can　produce　Fiber-Reinforced　Polymer　(FRP)　composites　with　volume　fractions　up　to　90.7%.　The　mechanical　properties　of　FRP　composites　are　then　predicted　using　a　progressive　damage　model　that　considers　the　failure　of　the　matrix　and　interface.　The　experimental　results　in　the　literature　verify　the　rationality　of　the　numerical　model.　Finally,　the　effect　of　varying　volume　fractions　and　cell-cutting　methods　on　the　mechanical　characteristics　of　unidirectional　FRP　composites　under　transverse　loading　was　studied.　The　results　show　that　the　elastic　modulus　increases　with　increasing　fiber　volume　fraction,　while　the　tensile　strength　shows　an　opposite　trend.　The　hex-agonal　cell-cutting　method　can　alleviate　the　adverse　effect　of　the　decrease　in　tensile　strength　with　the　increase　in　fiber　volume　fraction.　Meanwhile,　the　hexagonal　cell-cutting　method　is　reliably　reproducible,　and　the　coefficient　of　variation　for　the　30　renditions　is　only　0.05%.　It　illustrates　that　the　hexagonal　cell-cutting　method　can　generate　composites　with　higher　tensile　strength　compared　to　other　methods.