Fresnel　Incoherent　Correlation　Holography　(FINCH)　enables　holograms　to　be　created　from　incoherent　light　illumination　of　3D　objects.　The　optical　setup　of　FINCH　is　usually　simple　and　compact　owe　to　its　in-line　geometry　while　the　reconstruction　of　hologram　suffers　from　the　obstruction　of　zero-order　item　and　twin　image.　Phase-shift　technology　is　combined　with　FINCH　in　order　to　obtain　zero-order-free　and　twin-image-free　reconstruction.　Three-step　phase-shifting　is　adopted　in　all　the　publications　of　FINCH　and　the　application　of　other　multi-step　phase-shift　technology　in　FINCH　are　not　investigated　yet.　The　Fresnel　holograms　are　sequentially　recorded　with　different　multi-step　phase-shifting　(including　four,　three,　and　two-step)　to　form　the　complex　hologram　and　the　quality　of　the　reconstructed　images　are　compared　by　simulations　and　experiments　respectively　in　this　study.　Several　parameters　including　resolution,　SNR　and　normalized　cross-correlation　are　applied　to　evaluate　the　quality　of　reconstruction　images.　Although　various　noises　would　be　introduced　by　the　optical　elements　and　the　experimental　environment　in　practice,　four-step　phase-shifting　provides　the　best　quality　of　the　reconstructed　image　but　the　system　resolution　is　not　different　from　others.　In　addition,　the　influence　of　different　phase　shift　plus　to　the　quality　of　reconstruction　images　in　the　three-step　phase-shifting　FINCH　is　investigated　and　the　results　show　that　the　quality　of　reconstruction　images　which　use　the　pi/2　is　better　than　that　2　pi/3.