Self-interference　digital　holography　enables　holographic　recording　of　object　illuminated　with　spatially　incoherent　light.　While　Fresnel　incoherent　correlation　holography　(FINCH)　has　great　potential　in　super-resolution　microscopic　imaging,　structured　illumination　can　be　implemented　simultaneously　to　further　improve　the　imaging　resolution.　In　this　paper,　the　imaging　characteristics　of　FINCH　with　structured　illumination　are　investigated　in　detail.　The　basic　principle　of　FINCH　with　structured　illumination　is　discussed.　Effects　of　characteristics　of　structured　light　pattern,　such　as　the　period,　orientation　and　modulation　depth　on　lateral-resolution　are　investigated.　The　potential　of　structured　illuminated　FINCH　in　three-dimensional　super-resolution　imaging　was　demonstrated　in　the　paper.