The　uniaxial　constitutive　relation　of　ultra-high　performance　fiber　reinforced　concrete　(UHPFRC)　is　the　basis　for　under-standing　its　material　properties　and　nonlinear　structural　design.　From　the　perspective　of　the　constitutive　equation　function　model,　this　paper　reviews　the　existing　research　on　the　uniaxial　constitutive　relationship　of　UHPFRC.　It　was　found　that　the　empirical　model　of　constitutive　relation　is　suitable　for　structural　design　calculation,　and　the　constitutive　equations　of　uniaxial　tension　and　compression　should　adopt　rational　fractions.　The　simplified　model　of　constitutive　relation　is　suitable　for　simplified　force　analysis　and　numerical　simulation.　The　three-fold　line　model　is　suitable　for　uniaxial　tension,　and　the　double-fold　line　model　is　suitable　for　uniaxial　compression.　The　damage　model　of　constitutive　relation　is　suitable　for　the　study　of　material　properties,　and　the　damage　evolution　function　is　mostly　Weibull　distribution.　In　addition,　it　is　found　that　the　constitutive　equations　obtained　by　various　existing　studies　do　not　contain　fiber　parameters,　which　cannot　fully　reflect　the　influence　of　steel　fibers.　Therefore,　uniaxial　tension　and　compression　tests　were　carried　out　on　UHPFRC　with　three　aspect　ratios　and　six　volume　fractions　to　analyze　the　influence　of　fibers　on　the　constitutive　relationship.　The　results　show　that　the　rational　fraction　is　more　suitable　for　the　empirical　model　function　of　the　uniaxial　tension　and　compression　constitutive　model　of　UHPFRC.　Combined　with　the　test　and　the　collected　literature　data,　the　influence　of　fiber　on　the　coefficient　of　the　empirical　model　equation　was　analyzed,　and　the　equation　of　the　empirical　model　of　the　uniaxial　constitutive　relationship　was　proposed.　The　influence　of　steel　fiber　parameters　on　the　uniaxial　damage　constitutive　relation　was　also　explored.　The　experimental　results　show　that　there　is　a　strong　correlation　between　the　steel　fiber　enhancement　factor　and　the　control　coefficient　of　the　damage　model.　Based　on　the　experimental　data,　the　relationship　between　the　parameters　of　steel　fiber　and　the　control　coefficient　of　constitutive　equation　is　obtained　by　numerical　analysis,　and　then　the　damage　constitutive　equations　of　uniaxial　tension　and　compression　including　steel　fiber　variables　are　proposed.　The　literature　data　are　collected　for　verification　and　correction,　indicating　that　the　constitutive　relation　proposed　in　this　paper　is　in　better　agreement　with　the　experimental　results.　©　2024　Beijing　University　of　Aeronautics　and　Astronautics　(BUAA).　All　rights　reserved.