We　present　a　new　method　for　the　four-dimensional　tracking　of　a　spatially　incoherent　illuminated　object.　Self-interference　digital　holography　is　utilized　for　recording　the　hologram　of　the　spatially　incoherent　illuminated　object.　Three-dimensional　spatial　coordinates　encoded　in　the　hologram　are　extracted　by　holographic　reconstruction　procedure　and　tracking　algorithms,　while　the　time　information　is　reserved　by　the　single-shot　configuration.　Applications　of　the　holographic　tracking　methods　are　expanded　to　the　incoherent　imaging　areas.　Speckles　and　potential　damage　to　the　samples　of　the　coherent　illuminated　tracking　methods　are　overcome.　Results　on　the　quantitative　tracking　of　three-dimensional　spatial　position　over　time　are　reported.　In　practical,　living　zebra　fish　larva　is　used　to　demonstrate　one　of　the　applications　of　the　method.　(C)　2015　Elsevier　B.V.　All　rights　reserved.