According　to　D.　Gabor＇s　proposal,　holography　is　a　coherent　imaging　technique　where　the　object＇s　three-dimensional　information　is　first　recorded　and　then　reconstructed　from　the　hologram　that　obtained　through　the　interference　of　object　and　reference　beams.　The　coherence　of　light　originating　from　any　two　points　on　the　object　is　required　for　holographic　techniques.　However,　this　requirement　on　spatial　coherence　prevents　holography　from　being　used　in　incoherent　light　applications.　Indeed,　the　development　of　incoherent　holography　is　important　because　the　incoherent　light　sources　widely　exist　and　are　easy　to　obtain　in　nature　compared　with　the　laser　source.　Merz　and　Young　first　proposed　Fresnel-zone-plate　coded　imaging　technique　with　incoherent　illumination　and　explained　their　methodology　according　to　holographic　theory.　Lohmann　further　presented　wavefront　retrieval　of　incoherent　objects　based　on　the　skills　of　beam　split　and　self-interference　of　an　object　beam　and　a　same　originated　reference　beam,　thereby　forming　the　academic　idea　of　incoherent　holography.　The　spatial　coherence　is　no　longer　necessary　in　incoherent　holography　since　using　specific　beam　splitting　skills　to　form　the　hologram　of　incoherent　illuminated　or　self-luminous　objects　by　the　interference　of　two　beams　that　originated　from　the　same　point.　In　the　past　few　decades,　enormous　efforts　have　been　addressed　to　develop　the　basic　principle　and　reconstruction　algorithms　and　improve　imaging　performances　and　applications　of　incoherent　holography.　This　review　focuses　on　demonstrating　the　basic　concept　and　applications　of　various　incoherent　coded　aperture　correlation　digital　holography　techniques,　with　or　without　a　two-beam　interference,　to　provide　a　clear　picture　of　recent　progress　in　incoherent　holography.　We　also　discussed　the　main　challenges　and　limitations　of　existing　methods　and　potential　directions　in　which　efforts　can　be　made　to　advance　incoherent　research　holography.