Mixed-cell-height　circuits　have　become　popular　in　advanced　technologies　for　better　power,　area,　routability,　and　performance　tradeoffs.　With　technology　and　region　constraints　imposed　by　modern　circuit　designs,　the　mixed-cell-height　legalization　problem　has　become　even　more　challenging.　Additionally,　an　ideal　legalization　method　should　minimize　both　the　average　and　maximum　cell　movements　to　preserve　the　quality　of　a　given　placement　as　much　as　possible.　In　this　article,　we　present　an　effective　and　efficient　mixed-cell-height　legalization　algorithm　to　consider　technology　and　region　constraints　while　minimizing　the　average　and　maximum　cell　movements.　We　first　present　a　fence　region　handling　technique　to　unify　the　fence　regions　and　the　default　region.　To　obtain　a　desired　cell　assignment,　we　then　propose　a　movement-aware　cell　reassignment　method　by　iteratively　reassigning　cells　in　locally　dense　areas　to　their　desired　rows.　After　cell　reassignment,　a　technology-aware　legalization　is　presented　to　remove　cell　overlaps　while　satisfying　the　technology　constraints.　Finally,　we　propose　a　technology-aware　refinement　to　further　reduce　the　average　and　maximum　cell　movements　without　increasing　the　technology　constraints　violations.　Compared　with　the　champion　of　the　2017　CAD　Contest　at　ICCAD　and　the　state-of-the-art　work,　experimental　results　based　on　the　2017　CAD　Contest　at　ICCAD　benchmarks　show　that　our　algorithm　achieves　the　best　average　and　maximum　cell　movements　and　significantly　fewer　technology　constraint　violations,　in　a　comparable　runtime.　The　experimental　results　based　on　the　modified　2015　ISPD　Contest　benchmarks　also　demonstrate　the　effectiveness　of　our　algorithm　in　minimizing　the　average　and　maximum　cell　movements,　compared　with　state-of-the-art　mixed-cell-height　legalizers.