Color　correction　can　eliminate　the　color　difference　between　similar　images　in　image　stitching　and　3D　video　reconstruction.　The　result　images　generated　by　the　local　color　correction　algorithms　usually　show　structure　inconsistency　problem　with　the　input　images.　In　order　to　solve　this　problem,　we　propose　a　structure　consistent　color　correction　algorithm　for　stereoscopic　images　based　on　gradient　preservation.　This　method　can　not　only　eliminate　color　difference　between　reference　and　target　images,　but　also　optimize　structure　between　the　input　target　image　and　the　result　image.　Firstly,　the　algorithm　extracts　the　structure　information　of　the　target　image　and　style　information　of　the　reference　image　using　the　SIFT　algorithm　and　generates　the　structure　image　and　the　pixel　matching　image.　Then　an　initial　result　image　is　generated　by　local　pixel　mapping.　Finally　the　initial　result　image　is　iteratively　optimized　by　the　gradient　preserving　algorithm.　The　experimental　results　show　that　our　algorithm　can　not　only　optimize　the　structure　inconsistency,　but　also　effectively　process　image　pairs　with　large　color　difference.　©　2019,　Springer　Nature　Switzerland　AG.