A　novel　numerical　model　for　the　damage　and　fracture　behaviors　of　fiber-reinforced　cementitious　composites　(FRCC)　is　introduced　based　on　Peridynamic　(PD)　theory.　This　Peridynamic　fiber-reinforced　Cementitious　Composites　(PD-FRCC)　model　improves　the　bond-based　PD　theory＇s　capability　to　describe　the　intrinsic　microstructural　heterogeneity　and　macroscopic　nonlinear　mechanical　properties　of　cementitious　by　introducing　key　damage　correction　factors.　A　semi-discrete　method　is　used　to　simulate　the　reinforcement　effect　of　fibers,　where　a　proportion　of　cementitious　matrix　bonds　are　randomly　selected　as　fiber-reinforced　bonds　based　on　fiber　content　and　length.　The　effectiveness　and　stability　of　the　proposed　numerical　model　are　validated　by　numerical　simulation　examples.　These　examples　include　tensile　tests　of　single-fiber　cementitious　plates,　static　tensile　tests　of　steel-polyethylene　hybrid　fiber　reinforced　engineered　cementitious　composites　(ST/PE-ECC),　and　tensile　failure　simulations　of　double-notched　beams.　The　results　demonstrate　that　the　proposed　numerical　model　accurately　captures　the　complex　morphology　and　propagation　of　FRCC　cracks,　and　showcases　high　predictive　accuracy.　The　significant　impact　of　fiber　bridging　on　material　toughness　and　ductility　during　crack　propagation　is　emphasized,　revealing　that　fibers　not　only　suppress　initial　crack　growth　but　also　lead　crack　propagation　along　complex　paths,　thereby　extending　crack　propagation　time　and　enhancing　fracture　resistance.　©　2024　Elsevier　Ltd